SOLUTION: If triangle RTS=triangle HFG and RT=4x+2, TS=3x-2, SR=2x+5 and FH=x+14. Solve for x.

Algebra ->  Triangles -> SOLUTION: If triangle RTS=triangle HFG and RT=4x+2, TS=3x-2, SR=2x+5 and FH=x+14. Solve for x.      Log On


   

Question 1120288: If triangle RTS=triangle HFG and RT=4x+2, TS=3x-2, SR=2x+5 and FH=x+14. Solve for x.
Answer by ikleyn(52785) About Me  (Show Source):
You can put this solution on YOUR website!
.
Since the triangle RTS is congruent to triangle HFG (as it is given !), it implies that


|RT| = |FH|,   or


4x + 2 = x + 14,

4x - x = 14 - 2,

3x = 12    ====>  x = 12%2F3 = 4.

Solved.