Question

What is the measure of n?mnn =8.4= [?]VGive your answer in simplest form.Enter

Answer 1

We have 3 similar triangles. We will use the two inner triangles.

Using the ratio of similar sides

8 n

---- = ------

n 4

Using cross products

8*4 = n^2

32 = n^2

Taking the square root of each side

sqrt(32) = sqrt(n^2)

sqrt(16 *2) = n

4 sqrt(2) = n

$n=4\sqrt[]{2}$