Question

The length of one leg of a right triangle is 3x the length of the other. The length of the hypotenuse is 10. What is the length of the longest leg?

Answer 1

x = x
y = 3x

x^2 + y^2 = 10^2

x^2 + (3x)^2 = 100

x^2 + 9x^2 = 100

10x^2 = 100

x^2 = 10

x=sqrt(10)
y=3sqrt(10) if I did me math right