Question

I n triangle abc ad is bisector of angle bac if ab = 10 ac =6 bc= 12 find bd

Answer 1

By P.T

AC 2 +BC2 +BD2

10 2+ 6 2+BD2

100+36+BD2

BD2=100-36

BD2 =64

BD2 =64÷2

BD2=32

BD=16

Answer 2

The Angle-Bisector theorem states that if a ray bisects an angle of a triangle, then it divides the opposite side into segments that are proportional to the other two sides.