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

PLEASE HELP ASAP!!! Triangle Similarity Day 4- Overlapping triangles Solve for x. Remember-example-1

1 Answer

6 votes

Answer:

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

PLEASE HELP ASAP!!! Triangle Similarity Day 4- Overlapping triangles Solve for x. Remember-example-1
User Jon Burgess
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