Similar Triangles: Finding Area Ratio from Similarity Ratio of 7

The similarity ratio between two similar triangles is 7, so that the area ratio is —— _{——}

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Step-by-step video solution

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00:00 Find the area ratio between the triangles
00:03 The triangles are similar according to the given data
00:09 The area ratio between the triangles equals the similarity ratio squared
00:22 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

The similarity ratio between two similar triangles is 7, so that the area ratio is —— _{——}

2

Step-by-step solution

We square it. 7 squared is equal to 49.

3

Final Answer

49

Practice Quiz

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If it is known that both triangles are equilateral, are they therefore similar?

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