Question

Find the missing length indicated.
Your answer

Answer 1

x = 12

Explanation:

For the middle size triangle

short leg = x

long leg = (25 - 9) = 16

ratio = x/16

For the small triangle

short leg = 9

long leg = x

ratio = 9/x

Similar triangles are proportional so

Set the ratios equal

x/16 = 9/x

Cross multiply

x² = 144

Take the square root of both sides

x = 12