Question

The lengths of corresponding sides of 2 similar right triangles are in the ratio 4:5. The hypotenuse of the smaller triangle is 24 inches long. How many inches long is the hypotenuse of the larger triangle?

Answer 1

The ratio of length of sides of two triangle is 4:5.

If hypotenuse of small triangle = 24 inches

Let the hypotenuse of larger triangle =x

Then,

$\frac{5}{x}=\frac{4}{24}$$\frac{5}{x}=\frac{1}{6}$$x=30in$

Hence the hypotenuse of larger triangle = 30 in.