Question

One of the legs a right triangle is twice as long as the other and the perimeter of the triangle is 28. Find the lengths of all three sides, to three decimal places

Answer 1

So x 2x are the sides using Pythagorean theorem x^2 + (2x)^2= 5x^2

So the side is the square root of 5x^2 so now we have the third side

The sum of the sides should add to 28 so:

X+2x+√5x=28 factor the x

X(3+√5)=28 and we know √5=2.236

So x= 28/5.236= 5.347