Question

If these two shapes are similar, what is the measure of the missing length n?

39 in
15 in
91 in

Answer 1

n = 35 inches

Explanation:

Blue Triangle

Longer side = 91

Shortest side = 39

Brown triangle

Longer side = x

Shortest side = 15 in

When you have two triangles that are similar you have to set up your proportion like this

brown long/brown shorter = blue longer / blue shorter

x/ 15 = 91/39 Multiply both sides by 15

x = 91 * 15/ 39

x = 1365 /39

x = 35