Angle bisector practice sum

In Triangle PQR, PQ=48 cm, PR=80 cm and QR= 112 cm. If PA, QB and RC are angle bisectors of interior angles P, Q and R respectively then find:
(i) QA, AR
(ii) PB, BR
(iii) PC, CQ.

H.O.T.S. Similarity and Co-ordinate Geometry

In triangle OAB if O (0,0) B (220,0), AO=77 mm & AB=165 mm. Bisector of angle OAB meets OB at C. Find coordinates of point C.

3 Sums on triangle : Similarity, Isosceles and condition for such sums

Condition: Theta1 + Theta2 < 90 deg.

The inner triangle will be isosceles triangle.

Medians divide a triangle into 6 Triangles of equal area.

(Compiled).