Step-by-step explanation:
One leg is x, the second leg is 2x and the hypotenuse is:
- h = [tex]\sqrt{x^2+(2x)^2} =\sqrt{5x^2} =x\sqrt{5}[/tex]
Perimeter is:
- x + 2x + x√5 = 28
- x(3 + √5) = 28
- x = 28/(3 + √5) ≈ 5.348
The sides are:
- 5.348,
- 2*5.348 = 10.696
- 5.348*√5 = 11.958