Question

Given two similar right triangles. The leg of the first triangle is 32 cm and the hypotenuse is 47.36 cm. The leg of the second triangle is 10 cm. Find the length of the hypotenuse of the second right triangle.

Answer 1

We can use the property of similar right triangles that states that the corresponding sides are proportional.

Let x be the length of the hypotenuse of the second triangle. Then, we can set up the proportion:

32/47.36 = 10/x

Cross-multiplying, we get:

32x = 47.36 × 10

Simplifying, we get:

x = 14

Therefore, the length of the hypotenuse of the second right triangle is 14 cm.