Question

Given the similar triangles shown in the diagram below :

A) set up an equation and solve for x

B) find the length of side AB
C ) find the side length of side AC

Answer 1

B is the correct answer

Answer 2

a.) (x-3)(x-3) = 25 + (x-4)(x-4)

x^2 - 6x + 9 = 25 + x^2 - 8x + 16

-6x + 9 = -8x + 41

2x + 9 = 41

2x = 32

x = 16

b.) 16 - 4 = 12

AB = 12

c.) 16 - 3 = 13

AC = 13

[btw I don't know if this is the method your teacher wants as it does not use the similar triangle :/ but it is still correct :) so good luck bro]