BM and CN are perpendiculars to a line passing through the vertex A of a triangle ABC. If Lis the mid-point of BC, prove that LM = LN.

B M\ a n d\ C N are perpendicular to a line passing through the vertex A of a triangle A B C . If L is the mid-point of B C , prove that L M=L N .

B M and C N are perpendiculars to a line passing through the vertex A of a triangle A B Cdot If L is the mid-point of B C , prove that L M=L Ndot

B M\ a n d\ C N are perpendicular to a line passing through the vertex A of a triangle A B Cdot If L is the mid-point of B C , prove that L M=L N

If ABC is triangle and D is the mid-point of [BC], prove that vec AB + vec AC= 2 vec AD .

O is the circumcentre of the triangle ABC and D is the mid-point of the base BC. Prove that angleBOD = angleA

If BD is the perpendicular drawn from the vertex B of the right triangle ABC to the hypotenuse AC,prove that(iii) BC^2=CDxxAC

A (5, 3), B (-1, 1) and C (7, -3) are the vertices of triangle ABC. If L is the mid-point of AB and M is the mid-point of AC, show that : LM = (1)/(2) BC .

AL, BM and CN are perpendicular from angular points of a triangle ABC on the opposite sides BC, CA and AB respectively. Delta is the area of triangle ABC, (r ) and R are the inradius and circumradius. Radius is the circum circle of Delta LMN is