SOLUTION: The side of a right-angled triangle are (x+2)cm, 4x and (4x+1)cm. Determine the value of x

Algebra ->  Triangles -> SOLUTION: The side of a right-angled triangle are (x+2)cm, 4x and (4x+1)cm. Determine the value of x      Log On


   

Question 845886: The side of a right-angled triangle are (x+2)cm, 4x and (4x+1)cm. Determine the value of x
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Pythagorean theorem.
%28x%2B2%29%5E2%2B%284x%29%5E2=%284x%2B1%29%5E2
x%5E2%2B4x%2B4%2B16x%5E2=16x%5E2%2B8x%2B1
x%5E2-4x%2B3=0
%28x-3%29%28x-1%29=0
Two solutions:
x-3=0
x=3
The sides are then 5,12,13.
x-1=0
x=1
The sides are then 3,4,5.