SOLUTION: A triangle has a side of length of x. The second side of the triangle is 2 inches longer than the first side. The third side is 4 inches longer than the first side. The square

Algebra ->  Triangles -> SOLUTION: A triangle has a side of length of x. The second side of the triangle is 2 inches longer than the first side. The third side is 4 inches longer than the first side. The square      Log On


   



Question 874202:
A triangle has a side of length of x.
The second side of the triangle is 2 inches longer than the first side.
The third side is 4 inches longer than the first side.
The square of the first side plus the square of the second side is equal to the square of the third side.
What is the length of each side of the triangle.
5- Step method needs to show how problem is solved and checked

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
A triangle has a side of length of x.
The second side of the triangle is 2 inches longer than the first side.
x+2
The third side is 4 inches longer than the first side.
x+4
The square of the first side plus the square of the second side is equal to the square of the third side.
x^2+(x+2)^=(x+4)^2
What is the length of each side of the triangle.
x^2+x^2+4x+4=x^2+8x+16
x^2-4x-12=0
x^2-6x+2x-12=0
x(x-6)+2(x-6)=0
(x-6)(x+2)=0
x=6
ignore negative
6,8,10 are the sides