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Given that the pair of triangles is similar, find the length of the side labeled n.

Given That The Pair Of Triangles Is Similar Find The Length Of The Side Labeled N class=

Sagot :

Given:

the pair of triangles are similar

So, the corresponding sides are proportions

As shown, the corresponding hypotenuses = 10 and 5

And the corresponding legs are = n and 3

so, we have the following ratio:

[tex]\frac{10}{5}=\frac{n}{3}[/tex]

Using the cross multiplication:

[tex]n=\frac{3\cdot10}{5}=\frac{30}{5}=6[/tex]

So, the answer will be n = 6

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