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The triangles below are similar.

The triangles below are similar.-example-1

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Answer: 54

Explanation:

Since the triangles are similar, the sides form s equalivent proportion. The hypotunse of the bigger triangle and the smaller triangles correspond with each other and the base of the smaller and larger triangle correspond so we use this proportion: hypo. of big triangle/ base of larger triangle= hypo of smaller triangle/ base of smaller triangle.

Let substitue: 52.5/x= 5/4: ( I Reduce 15/12 into 5/4).Cross multiply: 210=5x: Divide by 5 both sides. x=42. Then add the 42 and and the 12 to find the whole distance which is 54.

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