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Solve for x image attched please help

Solve for x image attched please help-example-1
User Jason Dias
by
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1 Answer

5 votes

Answer:

x/4 = 36/x

Explanation:

You want the proportion relating the altitude of the right triangle to the segments of the hypotenuse.

Similar triangles

All the triangles in this figure are similar, so the ratios of corresponding sides are the same:

long leg/short leg = x/4 = 36/x

The proportion of interest is ...


\boxed{(x)/(4)=(36)/(x)}

__

Additional comment

The solution is ...

x² = 4·36

x = 2·6 = 12

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User Dmoench
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8.7k points

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