Lecture-7

00:00:36 NCERT Exercise 6.3 Question 10 CD and GH are respectively the bisectors of ∠ ACB and ∠ EGF such that D and H lie on sides AB and FE of ∆ ABC and ∆ EFG respectively. If ∆ ABC ~ ∆ FEG, show that: (i) CD/AC=GH/FG (ii) ∆ DCB ~ ∆ HGE (iii) ∆ DCA ~ ∆ HGF

00:13:07 NCERT Exercise 6.3 Question 11 In Fig. 6.40, E is a point on side CB produced of an isosceles triangle ABC with AB = AC. If AD ⊥ BC and EF ⊥ AC, prove that ∆ ABD ~ ∆ ECF.

00:16:27 NCERT Exercise 6.3 Question 13 D is a point on the side BC of a triangle ABC such that ∠ ADC = ∠ BAC. Show that CA^2 = CB.CD.

00:23:07 NCERT Exercise 6.3 Question 15 A vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m long. Find the height of the tower.

00:32:17 NCERT Exercise 6.3 Question 16

00:43:17 NCERT Exercise 6.3 Question 12 Sides AB and BC and median AD of a triangle ABC are respectively proportional to sides PQ and QR and median PM of ∆ PQR (see Fig. 6.41). Show that ∆ ABC ~ ∆ PQR.

00:52:37 NCERT Exercise 6.3 Question 14 Sides AB and AC and median AD of a triangle ABC are respectively proportional to sides PQ and PR and median PM of another triangle PQR. Show that ∆ ABC ~ ∆ PQR.