Question

In triangle ABC, AP is an angle bisector of angle BAC. What is the length of PC? Round you answer to the nearest whole number.

Answer 1

The length of PC  is 6

Sure hope this helps you :D

Answer 2

Answer:

D

Step-by-step explanation:

the angle bisector divides the opposite side into segments that are proportional to the other 2 sides.

note that BP = 16 - PC , then

$\frac{BP}{PC}$ = $\frac{AB}{AC}$ ( substitute values )

$\frac{16-PC}{PC}$ = $\frac{8}{10}$ = $\frac{4}{5}$ ( cross- multiply )

4 PC = 5(16 - PC) ← distribute parenthesis

4 PC = 80 - 5 PC ( add 5 PC to both sides )

9 PC = 80 ( divide both sides by 9 )

PC = 8.888... ≈ 9 ( to the nearest whole number )