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42 votes
Are the two triangles in the figure Similar? Justify the answer.what is the distance d across the lake?

Are the two triangles in the figure Similar? Justify the answer.what is the distance-example-1
User Sandris
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2.9k points

1 Answer

21 votes
21 votes

Two triangles are Similar if the only difference is size (and possibly the need to turn or flip one around). Therefore would be answer B.

Find the ratio


\begin{gathered} (80)/(30)=(d)/(180) \\ d=180\cdot(80)/(30) \\ d=480\text{ ft} \end{gathered}

The distance would be 480 ft

User LoranceChen
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2.6k points