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 set up a proportion between the two triangles using their corresponding sides. Let x be the length of the hypotenuse of the second triangle. The proportion can be written as:

32/47.36 = 10/x

To solve for x, we can cross-multiply and simplify:

32x = 473.6

x = 14.8

the length of the hypotenuse of the second right triangle is 14.8 cm.

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