Question

PLEASE HELP ASAP!!!

Triangle Similarity Day 4- Overlapping triangles
Solve for x. Remember to draw two triangles and set up the proportion.

Answer 1

x = 16

Explanation:

The two ∆s would be ∆ABC and ∆EFG as drawn in the attachment below.

Thus, ∆ABC ~ ∆EFG. Therefore:

`(AB)/(EF) = (AC)/(EG)`

AB = 12 + 3 = 15

EF = 12

AC = x + 4

EG = x

Plug in the values into the equation

`(15)/(12) = (x + 4)/(x)`

Cross multiply

`(15)(x) = (x + 4)(12)`

`15x = 12x + 48`

Subtract 12x from each side

`15x - 12x = 48`

`3x = 48`

`x = (48)/(3)`

`x = 16`