50.7k views
2 votes
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

Given the similar triangles shown in the diagram below : A) set up an equation and-example-1

2 Answers

3 votes
B is the correct answer
User Gasol
by
8.1k points
6 votes

Answer:

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]

User TriumphST
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories