SOLUTION: In a right triangle, one leg is 2 cm longer than the other leg, and the hypotenuse is twice as long as the shorter leg. Find the lengths of each of the three sides of the triangle.

Question 433608: In a right triangle, one leg is 2 cm longer than the other leg, and the hypotenuse is twice as long as the shorter leg. Find the lengths of each of the three sides of the triangle.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let one leg be x
otehr leg = x+2
hypotenuse = 2x
x^2+(x+2)^2=(2x)^2
x^2+x^2+4x+4=4x^2
2x^2-4x-4=0
Find the roots of the equation by quadratic formula
a=2 b= -4 c= -4

b^2-4ac=16 + 32
b^2-4ac=48 = 6.93

x1=(4+6.93)/4
x1= 2.73
x2=(4-6.93)/4
x2=-0.73
Ignore negative value
shortleg = 2.73 cm
longer leg = 4.73 cm
hypotenuse = 5.46cm

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