Question

Solve for x and b

Round to the nearest hundredth place
X=
B=

Answer 1

x = 11.49

b = 18.76

Explanation:

Use the right triangle altitude theorem.

All three triangles are similar.

x/6 = (6 + 16)/x

x²= 6 × 22

x² = 132

x = 11.49

Use the Pythagorean theorem.

x² + b² = 22²

132 + b² = 484

b² = 352

b = 18.76