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

Question

3 years ago

11

three sides, to three decimal places

1 answer:

bonufazy [111] · Answer 1 · 2022-05-11T02:53:10+03:00

7 0

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