A circle is inscribed in a triangle `A B C` touching the side `A B` at `D` such that `A D=5,B D=3,if/_A=60^0` then length `B C` equals. 9 (b)`(120)/(13)`(c) `13`(d) `12`

9+|-4| is equal to: (a)5 (b) -5 (c) 13 (d) -13

In a triangle A B C , if A B=A C\ a n d\ A B is produced to D such that B D=B C , find /_A C D\ :\ /_A D C

In an equilateral triangle A B C the side B C is trisected at D . Prove that 9\ A D^2=7\ A B^2

Side B C of a triangle A B C has been produced to a point D such that ∠ACD = 120^0dot If /_B=1/2/_A , then /_A is equal to 80^0 (b) 75^0 (c) 60^0 (d) 90^0

Let a and b represent the lengths of a right triangles legs. If d is the diameter of a circle inscribed into the triangle, and D is the diameter of a circle circumscribed on the triangle, the d+D equals. (a) a+b (b) 2(a+b) (c) 1/2(a+b) (d) sqrt(a^2+b^2)

D is a point on the side BC of a triangle ABC such that /_A D C=/_B A C . Show that C A^2=C B.C D .

A point D is on the side B C of an equilateral triangle A B C such that D C=1/4\ B C . Prove that A D^2=13\ C D^2 .

A circle touches all the four sides of a quadrilateral A B C D . Prove that: A B+C D=B C+D A .

Two circles are drawn with sides A B ,A C of a triangle A B C as diameters. The circles intersect at a point D . Prove that D lies on B C .

In Figure, A B C D is quadrilateral inscribed in a circle with centre O. C D is produced to E such that /_A DE=95^0a n d\ /_O B A=30^0. Find /_O A C .