Training Test

• 2

• 3

• 5

• 4

Suppose that <ACD and <DCB have the same measure, the length of AC is 12, the length of BC is 5, the length of AB is 13. What is the length of

CD?

In triangle ABD, BC is the angle bisector of <B. AB = 5, AC = 3, BC = 7. Find the length of CD.

In triangle ABC, side AB = 6, side AC = 3, and side BC = 4. What is

the length of the angle bisector to side AB ?

In triangle ABC, side AC and the perpendicular bisector of BC meet in point D, and BD bisects <ABC. If AD = 9 and DC = 7, what is the area of triangle ABD?

In triangle ABC, AB = 6 units and AC = 3 units. Point D is on segment BC so that BD: DC = 2 : 1. If AD = 2 units, what is the shortest possible length of segment BC?

In triangle PQR, PQ = 8 units and PR = 6 units. Point S is on segment QR so that QS: SR = 3 : 2. If PS = 4 units, what is the shortest possible length of segment QR?

In triangle XYZ, side XY = 10, side XZ = 4, and side YZ = 7. What is the length of the angle bisector to side XY?

• 2

• 3

• 4

• 5