8 2 The Pythagorean Theorem And Its Converse

Booster Pump For Pool, 8-2 The Pythagorean Theorem and Its Converse - YouTube. About featured snippets•Feedback White Knight Heat Pump Manual, Pythagorean Theorem and Its Converse. PDFAug 15, 2017 — Determine whether each set of numbers can be measure of the sides of a triangle. If so, classify the triangle as acute, obtuse, or right.Questions & answersQuizletQuestionConverse of the Pythagorean TheoremAnswer · 0 votesIf the sum of the squares of the lengths of the shortest sidMoreGauthmathQuestionNaME__DATE_PERIOD 8-2 Practice The Pythagorean Theorem and Its Converse Find x. < 2. 5.6 Use a Pythagorean Triple to find x. 7 8- 9. 10 Determine whether each set of numbers can be measure of the sides of a triangle. If so. classify the triangle as acute, obtuse, or right. Justify your answer. 11.10, 11, 20 12, 12, 14, 49 13. 5 square root of 2,10,11 14. 21.5, 24, 55.5 15.30,40,50 16.65, 72, 97 17. CONSTRUCTION The bottom end of a ramn at a waehouse is Ull fect fmm the base of the main dock and is 11 feet long. How high is the dock?Answer · 129 votesAnswer: .MoreBrainly.comQuestionSelect whether to use the Pythagorean Theorem or its converse in each situation.Pythagorean TheoremConverseAnight triangle has sidesof length 3 cm and 4 cm.What is the length of itshypotenuse?A triangle has sides oflength 10 m, 15 m, and 8 m,Is it a right triangle?A square has sides of length2 om. What is the length ofits diagonal?A right triangle has one sidethat is 15 ft. Its hypotenuseis 17 ft. How long is theother side?Answer · 24 votes1. Pythagorean Theorem2. Converse3. Pythagorean Theorem4. Pythagorean TheoremMoreCheggQuestionPythagorean Theorem and Its Converse Pythagorean Theorem: For any right triangle a + b = cc is the length of the hypotenuse. In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. Converse of the Pythagorean Theorem For any triangle, 1/a2+ b2 = then a, b, care the lengths of a rightAnswer · 0 votesa) AB= 6, BC=8, AC= 10 Applying Pythagoras theorem (Hypotenuse)^2 = (Base)^2 + (perpendicular)^2 In above, AC is Hypotenuse and AB is perpendicular and BC is Base Putting value in Pythagoras (10)2 = (8)2 + (6)2 100 = 64 + 36 100 = 100 Since, LHS =MoreBrainly.comQuestionHELP ME QUICKConsider the Pythagorean Theorem and its converse. Which statements are correct?A)6, 8, and 10 are possible side lengths for a right triangle.B)10, 15, and 20 are possible side lengths for a right triangle.The Pythagorean Theorem works only for sides of a right triangle.D)If the sides of a right triangle are of length 8 and 15. its hypotenuse is 17E)The Converse of the Pythagorean Theorem allows us to calculate sidelengths of right triangles.Answer · 0 votesIf consider the Pythagorean Theorem and its converse. A, C, D, and E are correct statements. What is Pythagoras's theorem?Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.In this case, statement A is correct because 6, 8, and 10 are possible side lengths for a right triangle. Statement B is incorrect because 10, 15, and 20 are not possible side lengths for a right triangle. Statement C is correct because the Pythagorean Theorem works only for sides of a right triangle.Statement D is correct because if the sides of a right triangle are of lengths 8 and 15, its hypotenuse is 17. Statement E is correct because the converse of the Pythagorean Theorem allows us to calculate the side lengths of right triangles. Thus, the correct statements would be options A, C, D, and E.Learn more about Pythagoras's theorem here:brainly.com/question/343682#SPJ2MoreCheggQuestion8. Use the Pythagorean Theorem or its converse to determine whether a triangle with side lengths given (in cm) is acute, obtuse, or right. Explain why. (a) 1, 3, 4 (b) 1, 3, 2 (C) 2. 4. 19. EXTRA CREDIT 3 POINTS Mark the problem below as "EXTRA CREDIT" on your sub- mission and put your solution at the very end of your homework - I will not be reading itAnswer · 0 votesPythagorean thMoreSocraticQuestionDo the following sets of sides of a triangle satisfy the Pythagorean Theorem: 8,24,25?Answer · 0 votesNo. The square of the hypotenuse is not equal to the sum of the squares of the other two sides. Therefore, the sides 8, 24, and 25 do not satisfy the Pythagorean theorem.Explanation:The Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. The hypotenuse is always the longest side of a right triangle. The equation for the Pythagorean theorem is a2+b2=c2.Substituting 8, 24, 25 for a, b, and c, we get:82+242=252Simplify.64+576=625Simplify.640≠625The square of the hypotenuse is not equal to the sum of the squares of the other two sides. Therefore the sides 8, 24, and 25 do not satisfy the Pythagorean theorem.MoreQuoraQuestionWhat is the difference between the Pythagorean theorem and its converse?Answer · 3 votesPythagoras theorem.In a right angled triangle, the square described on the hypotenuse is equal to the sum of the squares described on the sides containing the right angle.Converse of Pythagoras.If the square on one side of a triangle is equal to the sum of the squares on the other two sides of the triangle, the angle included by these two sides is a right angle.MoreStudy.comQuestionFind the missing side of this triangle using radicals and the Pythagorean theorem and its converse?Answer · 0 votesLet b represent the missing side or leg of the triangle and the rest of its dimensions are:Hypotenuse=c=9Leg=a=10The Pythagorean theorem equates the square of the hypotenuse with the sum of the square of the legs or c2=a2+b2. Solving for the leg b:c2=a2+b2c2−a2=b2b2=c2−a2b=c2−a2Substituting the values of the known leg and the hypotenuse gives b as equal to:b=c2−a2=(9)2−(8)2=81−64=17Checking if this is correct, use the converse of the Pythagorean Theorem:c2=?a2+b2(9)2=?(8)2+(17)281=?64+1781=✓81This is the assurance that the triangle is a right triangle. Thus, the length of the other leg of the right triangle is b=17MoreNumeradeQuestionHELP ME QUICKConsider the Pythagorean Theorem and its converse. Which statements are correct?A)6, 8, and 10 are possible side lengths for a right triangle.B)10, 15, and 20 are possible side lengths for a right triangle.The Pythagorean Theorem works only for sides of a right triangle.D)If the sides of a right triangle are of length 8 and 15. its hypotenuse is 17E)The Converse of the Pythagorean Theorem allows us to calculate sidelengths of right triangles.Answer · 3 votesIn this question, let us consider the points minus 4561 and minus 8 minus 5. Now the distance between 2 points x, 1 by 1 and x 2 y 2 is under root: x, 1, minus x, 2, whole square plus y 1 minus y 2 whole square. Now replacing x, 1 y 1 with minus 45 and x, 2 y 2 with 61, we get underrootminus 4 minus 6 whole square plus 5. Minus 1. Whole square is equal to under root 116 point now, similarly replacing x, 1 y 1 with 61 and x, 2 y 2, with minus 8 minus 5, we get under root 6 plus 8 whole square plus 1 plus 5 whole square, which is equal to under root 232 now again replacing x, 1 y 1 with minus 8 minus 5 and x to y 2 with minus 45 we get under root, minus 8 plus 4 whole square plus minus 5. Minus 5 whole square is equal to under root 116 point now, in view of the pythogoras theorem. Some of the square of 2 sides is equal to square of the 3 sides, so under root 116 whole square plus under root 116 whole square is equal to under root 232 whole square. Therefore, the points minus 4561 and min…MoreNumeradeQuestionPlease help!Lo: How do we use the Pythagorean Theorem and its converse? Do Now: Page 503, Q. 1 3Common Core Standards: G-SRT.C.8Lesson Check: Do you know how to use the Pythagorean Theorem and its converse in mathematical form?Pat Deck Interactive SlideStudents, draw anywhere on this slide.Answer · 4 votesAll right, so i'm gonna jaw this triangle, that's in the middle hereand, so to find the a b and c you're going to count the square so on a there's, 3 square, so 3 on b, there's 4 square so 4 and on c there are 5 square. So 5, now this they also have like a big square. So this big square is a 5 by 5 and 5 times. 5 is 25. This square over here is a 3 by 33 times. 3 is 9. This square is a 4 by 44 times. 4 is 16 point, and so this supports patarean theorem, because pythagorean theorem says a squared plus b squared equals c square which would be for us, and those numbers are 916 and 25, which are the exact same as the areas of those square. So this picture supports pythagorean, theorem.MoreTopprQuestionState Pythagoras theorem and its converse.Answer · 138 votesPythagoras theorem:In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.In ABC , if B = 90^∘ then AC^2 = AB^2 + BC^2 Converse of Pythagoras theorem:In a triangle, square of one side is equal to the sum of the squares of the other two sides, then the angle opposite to the first side is a right angle.In ABC , if AC^2 = AB^2 + BC^2 then B = 90^∘MoreInfinity LearnQuestionState if the given statement about Pythagoras theorem and its converse is true or false. “The sum of the squares of the base and the height is equal to the square of the hypotenuse and its converse is that if the sum of the square of one side is equal to the sum of the squares of the other two sides, then it is a right triangle”.Answer · 0 votesTrueMoreStack ExchangeQuestionthe converse of Pythagoras TheoremAnswer · 11 votesThe user @MvG noted that it should be an answer rather than a comment.Let △ABC be some arbitrary triangle with sides a,b,c (assume that AB=a,BC=b,AC=c) such that a2+b2=c2We can construct △DEF which is right angled and has sides a,b,d (assume DE=a,EF=b,DF=d) such that d is length of the hypotenuse, i.e ∠DEF=90∘. By Pythagorean theorem we have a2+b2=d2Now we can put (1) in (2) and get c2=d2. c,d>0, hence c=d.We can use SSS to claim that △ABC≅△DEF, so ∠ABC=∠DEF=90∘, hence △ABC is right angled.Q.E.DMoreBartleby.comQuestionThe converse of the Pythagorean theorem is also a true statement. If the sum of the squares of the lengths of two sides of a triangle is equal to the square of the length of the thirdside, then the triangle is a right triangle. Use the distance formula and the Pythagorean theorem to determine whether the set of points could be vertices of a right triangle.A(5,1), B(0,5), and C(-7, -2)Is the triangle a right triangle?O NoOYesAnswer · 0 votesStep 1 .MoreDoubtnutQuestion[Kannada] State and prove : The converse of the Pythagoras theorem.Answer · 438 votesStep by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.More Feedback 6.0 Powerstroke Water Pump, N-Gen Math 8.Unit 8.Lesson 2.The Pythagorean Theorem and .. 25:30In this lesson students review the Pythagorean Theorem. They then learn how the converse of the Pythagorean Theorem can help them decide if .YouTube · eMATHinstruction · Apr 13, 202010 key moments in this video Chick Fil A Mount Airy Nc, Pythagorean Theorem and Its Converse Notes and Practice #2. 11:44Pythagorean Theorem and Its Converse Notes and Practice #2. Rachel Tyre. Rachel Tyre. 1.07K subscribers. <__slot-el>. 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