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6. Similarity of Triangles
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Q4 of 70 Page 125

In Δ ABC, the bisector of ∠A intersects in D. Prove that

and

Given, In ΔABC, the bisector of ∠A intersects in D

TO PROVE :


1)


2)



Proof: In ABC, the bisector of A intersects in D


∴


By applying componendo


∴



By applying invertendo



BD ...... (i)


Similarly,






DC = PROVED.


More from this chapter

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2

In ΔABC, the bisector of ∠C intersects in F. If 2AF = 3FB and AC = 7.2 find BC.

3

In ΔXYZ, the bisector of ∠Y intersects in P.

(1) If XP : PZ = 4 : 5 and YZ = 6.5, find XY.


(2) if XY : YZ = 2 : 3 and XP = 3.8, find PZ and ZX.

5

□ ABCD is a trapezium such that || . and such that || . Prove that .

6

In ΔABC, D and E are the mid-points of and respectively. and intersect in G. A line m passing through D and parallel to intersects in K. Prove that AC = 4CK.

Questions · 70
6. Similarity of Triangles
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