Question

What is the measure of n?
6
m
18
n
n =
V[?]

Answer 1

9514 1404 393

Answer:

n = √108

Explanation:

The triangles in the figure are all similar, so corresponding sides have the same ratio.

long side/short side = n/6 = 18/n

n² = 6·18 = 108

n = √108

_____

Additional comment

The same is true for other side relationships.

hypotenuse/short side = m/6 = (6+18)/m

m² = 6(24) = 144

m = √144 = 12