Question

Triangle ABC is similar to triangle XYZ. Side AB measures 2, side BC measures x + 5, side CA measures x + 7, side XY measures 4 and side ZX measures 4x – 2. Find the value of x.

Answer 1

The value of x is 8.
SOlution:
Triangle ABC:AB=2BC=x+5CA=x+7
Triangle XYZ:XY=4YZ=?ZX=4x-2
x=?
XY/AB=ZX/CA4/2=(4x-2)/(x+7)
Simplify:2=(4x-2)/(x+7)Use cross multiplication to solve for x2(x+7)=(4x-2)2x+14=4x-22x+14-2x+2=4x-2-2x+216=2x16/2=2x/28=xx=8

Answer 2

Triangle ABC:
AB=2
BC=x+5
CA=x+7

Triangle XYZ:
XY=4
YZ=?
ZX=4x-2

x=?

XY/AB=ZX/CA
4/2=(4x-2)/(x+7)

Simpliying:
2=(4x-2)/(x+7)

Solving for x: Cross multiplication:
2(x+7)=(4x-2)
2x+14=4x-2
2x+14-2x+2=4x-2-2x+2
16=2x
16/2=2x/2
8=x
x=8

Answer: The value of x is 8