Question

Solve triangles: angle bisector theorem

DAC = BAD.
What is the length of CD?
Round to one decimal place.

Answer 1

Explanation:

CD/6.5 = 2.6/4.9 This is the result of the angle bisector theorem.

The theorem basically says that the side opposite the angle being bisected is divided the ratio of the sides enclosing the angle.

Multiply both sides of the proportion by 6.5

CD = 2.6 * 6.5 / 4.9

CD = 3.4489

CD = 3.4 rounded.