Question

Triangle XYZ is a scale drawing of triangle ABC.

Triangle ABC has side lengths 3, 4, & 5.
Triangle XYZ has corresponding side lengths x, 12, & 15.
What is the value of x?

Answer 1

x = 9

Explanation:

∆ABC is similar to ∆XYZ

Therefore:

`(AB)/(XY) = (BC)/(YZ)`

AB = 4

XY = 12

BC = 3

YZ = x

Plug in the values

`(4)/(12) = (3)/(x)`

Cross multiply

4x = 36

Divide both sides by 4

x = 9