Question

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

Answer 1

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:

`(10)/(5)=(n)/(3)`

Using the cross multiplication:

`n=(3\cdot10)/(5)=(30)/(5)=6`

So, the answer will be n = 6