[" B.What and "CN" are perpendiculars to a line passing through the vertex "A" of a triangle "],[ABC" .If "L" is the mid-point of "BC" ,prove that "LM=LN" ."]

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 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 C . If L is the mid-point of B C , prove that L M=L N .

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

In a triangle A B C ,\ B M\ a n d\ C N are perpendiculars from B\ a n d\ C respectively on any line passing through A . If L is the mid-point of B C , prove that M L=N L . .

In a triangle ABC, B=90^@ and D is the mid-oint of BC then prove that AC^2=AD^2+3 CD^2

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

In a triangle ABC,B=90^(@) and D is the mid-oint of BC then prove that AC^(2)=AD^(2)+3CD^(2)

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

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