right triangle has a 24-cm perimeter, find all three side lengths of triangle.

Question

A right triangle has a 24-cm perimeter, and its hypotenuse is twice as long as its shorter leg. To the nearest tenth of a cm, find the lengths of all three sides of this triangle.

Hypotenuse = 2x, short leg = x, and using the pythagorean theorem I find the longer leg = x sqrt3

Is this the correct way to do this question to find x by adding up all the sides?

24= x+2x+x sqrt3

I get x= 5.0718cm

Answer 1

That is correct, now just plug that value into the expression for each side:

Shortest side is x

Next is x√3

Hypotenuse is 2x

And don't forget to round to the nearest tenth!