Q17 of 141 Page 438

In the given figure, is an isosceles triangle in which and a circle passing through and intersects and at and respectively.

Prove that


Given AB = AC


∴ ∠ACB = ∠ABC


Ext. ∠ADE = ∠ACB = ∠ABC


∴ ∠ADE = ∠ABC


∴ DE || BC Proved.


More from this chapter

All 141 →
15

In the given figure, is the center of a circle. If and calculate

(i) (ii)


16

In the given figure, is a cyclic quadrilateral whose sides and are produced to meet in

Prove that


18

is an isosceles triangle in which If and are midpoints of and respectively, prove that the points are concyclic.

 19

Prove that the perpendicular bisectors of the sides of a cyclic quadrilateral are concurrent.