Question

what is the value of n

Answer 1

The small triangle’s left and right sides are half the length of the big triangles left and right sides

Additionally, they share the top angle in between the two sides

So using SAS similarity theorem, the two triangles are similar

Thus, the bottom side of the small triangle is one half the bottom of the big triangle

So (n-9) = (1/2)*46

Solve for n