Which side lengths form a right triangle? Choose all answers that apply: Choose all answers that apply: (Choice A) A 2 , 3 , 4 2

Question

Which side lengths form a right triangle? Choose all answers that apply: Choose all answers that apply: (Choice A) A 2 , 3 , 4 2 , 3 , 4 square root of, 2, end square root, comma, square root of, 3, end square root, comma, square root of, 4, end square root (Choice B) B 8 , 3 , 17 8 ,3, 17 square root of, 8, end square root, comma, 3, comma, square root of, 17, end square root (Choice C) C 5 , 6 , 8 5,6,85, comma, 6, comma, 8

thaiduong · Answer

The choice that has side  lengths  that form a  right triangle  is only option  B   B. √8, 3, √(17)    What is a right triangle?  A  right triangle  is a triangle that has an interior angle of 90°.  The  properties  of the  side lengths  of a right triangle are;  The  square  of the length of the  length  of the  longest  side is equal to the sum of the square of the other two sides, which are the legs of the right. triangle.  The options are;  A. √2, √3, √4  B. √8, 3, √17  C. 5, 6, 8  Analyzing each of the options, we get;  Option A  The  longest  side, which is the side that has the  largest number  is √4  If the  triangle  forms a right triangle, we should get;  (√4)² Equals the sum of (√3)² and (√2)²  (√4)² = 4  (√3)² = 3  (√(2)²= 2  However; 4 ≠ 3 + 2, therefore the triangle in choice  A  is not a right angle    Choice  B . The  length  of the  longest side  is; √(17)  The square of the longest side is; (√(17))² = 17  The square of the length of the side with length √8 = (√8)² = 8    The square of the length of the third side = 3² = 9  Which indicates;  The square of the longest side = 17  The sum of the square of the other two sides = 9 + 8 = 17  Therefore, the  square  of the  longest side  is the same as the square of the other two sides.   The triangle in choice  B  is a right triangle     Choice  C   The  length  of the longest side = 8  The  square  of the longest side = 8² = 64  The sum of the square of the other two  sides  = 5² + 6² = 61  Therefore;  The square of the longest side ≠ The sum of the other two sides  8² ≠ 5² + 6²  Choice  C  is not a right triangle    Learn more about  right triangles  here:  https://brainly.com/question/17261311  #SPJ1

What is a right triangle?

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