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Please help me with this and can you show me how to do it??

Please help me with this and can you show me how to do it??-example-1
User Hasankzl
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1 Answer

2 votes

Answer:

8 ft²

Explanation:

Since ΔEFG ~ ΔABC, they are proportionately related. Each of the corresponding sides differ by the scale factor, which shows how much bigger or smaller the new triangle is from the original triangle.

Purple = original triangle, triangle 1

Pink = new triangle, triangle 2

Find the scale factor, "k". It will be a fraction because the triangle gets smaller.

k = FG/BC = 2/3

The scale factor can be used to find a side, the height or the area of the new triangle.

Use the scale factor squared to find the area.

A₂ = (A₁)(k²)

= (18 ft²)(2/3)²

= 7.999...ft²

= 8 ft²

User GabeIsman
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