#### What is the area of triangle CA'B' if ABC is an equilateral triangle and A'B' is parallel to AB?

Anonymous

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Anonymous

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Krishna

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Step 1: Understand the question and examine the given figure

NOTE: ABC is an equilateral

A'B' parallel to AB

Side AB = 4 units

Step 2: Check is there any relation between the triangles (ABC and CA'B').

NOTE: Since A'B' is parallel to AB, triangles ABC and A'B'C are similar and

therefore triangle A'B'C is also equilateral.

Step 3: Find the area of the triangle A'B'C

NOTE: A = a^2 \frac{\sqrt{3}}{4}

A = 4^2 \frac{\sqrt{3}}{4}

A = 4 \sqrt{3}