In a Δ ABC, AD is the bisector of ∠A, meeting side BC at D.
(i) If BD = 2.5 cm, AB = 5 cm, and AC = 4.2 cm, find DC.
(ii) If BD = 2 cm, AB = 5 cm, and DC = 3 cm, find AC.
(iii)  If AB = 3.5 cm, AC = 4.2 cm, and DC = 2.8 cm, find BD.
(iv)  If AB = 10 cm, AC = 14 cm, and BC = 6 cm, find BD and DC.
(v) If AC = 4.2 cm, DC = 6 cm, and BC = 10 cm, find AB.
(vi) If AB = 5.6 cm, BC = 6 cm, and DC = 3 cm, find BC.
(vii) If AB = 5.6 cm, BC = 6 cm, and BD = 3.2 cm, find AC.
(viii) If AB = 10 cm, AC = 6 cm, and BC = 12 cm, find BD and DC.
(i) It is given that BD = 2.5 cm, AB = 5 cm, and AC = 4.2 cm.
In Δ ABC, AD is the bisector of ∠A, meeting side BC at D.
We need to find AC.
Since, AD is ∠A bisector.
We need to find BD.
We need to find BD and DC.
BD = 3 cm and DC = 3 cm.
(v) It is given that AC = 4.2 cm, DC = 6 cm, and BC = 10 cm.
In Δ ABC, AD is the ∠A bisector, meeting side BC at D.
BD = 7.5 cm and DC = 4.5 cm.
AE is the bisector of the exterior ∠CAD meeting BC produced in E. If AB = 10 cm, AC = 6 cm, and BC = 12 cm, Find CE.
Meeting BC produced E and AB = 10 cm, AC = 6 cm, and BC = 12 cm.
Since AE is the bisector of the exterior ∠CAD.
Δ ABC is a triangle such that AB/AC = BD/DC, ∠B = 70, ∠C = 50, find ∠BAD.
First we will check proportional ratio between sides.
Hence, AD is not the bisector of ∠A.
(ii) It is given that AB = 4 cm, AC = 6 cm, BD = 1.6 cm and CD = 2.4 cm.
Hence, AD is the bisector of ∠A.
(iii) It is given that AB = 8 cm, AC = 24 cm, BD = 6 cm and BC = 24 cm.
(iv) It is given that AB = 6 cm, AC = 8 cm, BD = 1.5 cm and CD = 2 cm.
First, we will check proportional ratio between sides.
(v) It is given that AB = 5 cm, AC = 12 cm, BD = 2.5 cm and BC = 9 cm.
In fig. AD bisects ∠A, AB = 12 cm, AC = 20 cm, and BD = 5 cm, determine CD.
AB = 12 cm, AC = 20 cm, and BD = 5 cm.
We need to find CD.
∴  CD = 8.33 cm.
D and E are the points on sides BC, CA and AB respectively. of a ΔABC  such that AD bisects  ∠A, BE bisects ∠B and CF bisects ∠C. If AB = 5 cm, BC = 8 cm, and CA = 4 cm, determine AF, CE, and BD.
It is given that AB = 5 cm, BC = 8 cm and CA = 4 cm.
We need to find out, AF, CE and BD.