Shaalaa.com | Triangles part 10 (Internal Bisector Theorem)
Series 1: playing of 8
In ΔABC, the bisector of ∠B meets AC at D. A line OQ║AC meets AB, BC and BD at O, Q and R respectively. Show that BP × QR = BQ × PR
In the following Figure, ΔABC is a triangle such that `"AB"/"AC"="BD"/"DC"`, ∠B = 70°, ∠C = 50°. Find ∠BAD.
In a ΔABC, AD is the bisector of ∠A, meeting side BC at D.
If AB = 10 cm, AC =14 cm and BC =6 cm, find BD and DC.
If the lengths of the sides BC, CA and AB of a ΔABC are a, b and c respectively and AD is the bisector ∠A then find the lengths of BD and DC
InΔ ABC , M and N are points on the sides AB and AC respectively such that BM= CN. If ∠B = ∠C then show that MN||BC