Question

Select the procedure that can be used to show the converse of the Pythagorean theorem using side lengths chosen from 5cm,9cm, 12cm, and 13cm.

Answer 1

inverse reciprocal of Pythagorean)

inverse theorem:

if in a triangle the square of the longest side is equal to the sum of the squares of the 2 other sides then this triangle is right-angled

if 13² = 12²+5²

the triangle is right-angled

13²= 169

12²+5²= 144+25 = 169

the measurements of the triangle: 13cm, 12cm, 5cm