Question

Two right triangles are similar and have areas of 36 m and 144 m². If the hypotenuse of the larger

triangle is 30 m long, what is the length of the hypotenuse of the smaller triangle?

Answer 1

Answer: 18

Explanation:

Find the scale factor: 144/36= 4. But scale factor of area is r^2=4=> r= 2

Hypotenuse of small triangle is:

36/x=2 => x=18