Question

Select the procedure that can be used to show the converse of the

Pythagorean theorem using side lengths chosen from 6 cm, 9 cm, 12 cm, and 15 cm.

Answer 1

Therefore the hypotenuse of the triangle is 15 cm and other two sides of the triangle are 9 cm and 12 cm and one angle of the triangle is 90°.

Explanation:

Pythagorean Theorem: According to this theorem the result obtained by squaring the value of the hypotenuse of a right angled triangle is equal to the sum of the squares of the values other two sides of the triangle.

Hypotenuse = h

Altitude = l

Base = b

l²+b²=h²

Here 6²=36

9²=81

12²=144

15²=225

From the above it is clear that

81+144=225

⇒9²+12²=15²

Therefore the hypotenuse of the triangle is 15 cm and other two sides of the triangle are 9 cm and 12 cm and one angle of the triangle is 90°.