Question

Kurt wants to informally prove the converse of the Pythagorean Theorem by producing some evidence that supports it. Recall that the converse of the Pythagorean Theorem states: If a triangle has side lengths a,b,c, such that LaTeX: a^2+b^2\:=\:c^2a 2 + b 2 = c 2 , then the triangle is a right triangle. Kurt is going to construct several triangles with different side lengths. Select the TWO sets of three side lengths below that Kurt can use as evidence to support the converse of the Pythagorean Theorem. Group of answer choices

Answer 1

7,24,25

20,48,52

Explanation:

Answer 2

20,48,52 and 7,24,25

Explanation:

The following group of answer choices are missing in the question:

• 20,48,52

• 4,5,6

• 7,24,25

• 9,12,16

The set of sides has to satisfy the equation: a² + b² = c²

For the first case: 20² + 48² = 52²

For the second case: 4² + 5² ≠ 6²

For the third case: 7² + 24² = 25²

For the fourth case: 9² + 12² ≠ 16²