Question

The hypotenuse of a right triangle is 15cm long. One of the triangle’s legs is two times the length of the other leg. Find the lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth. 1

Answer 1

Step-by-step explanation:

Given that,

The hypotenuse of a right triangle is 15 cm

Let x is the length of the other leg. So, the length of the first leg is 2x.

Using Pythagoras theorem for the right angle triangle such that,

hypotenuse² = base²+height²

Let base is x and height is 2x

So,

$15^2=x^2+(2x)^2\\\\225=x^2+4x^2\\\\225=5x^2\\\\x^2=45\\\\x=3\sqrt{5} \ cm$

Hence,

Base = $3\sqrt{5} \ cm$

Height = $2\times 3\sqrt{5} \ cm=6\sqrt5\ cm$

Hyoptenuse = 15 cm (given)