`Delta ABC and Delta AMP `are two right triangles right angled at B and M respectively.
Prove that (i) `Delta ABC ~ Delta AMP` and
(ii) `(CA)/(PA) = (BC)/(MP)`.

In the adjoining figure , /_B and /_M of the right angled triangles DeltaABC and DeltaAMP are right angles. Prove that (a) DeltaABC~DeltaAMP , (b) (CA)/(PA)=(BC)/(MP) .

In triangle ABC, right angled at C, (tanA+tanB) equal to

ABC is a right triangle right angled at B. Let D and E be any points on AB and BC respectively. Prove that AE^(2) + CD^(2) = AC^(2) + DE^(2) .

ABC is an isosceles triangle right angled at C. Prove that AB^(2) = 2AC^(2) .

In Delta ABC, /_A is a right angle and AO is perpendicular to BC. Prove that AO^(2) = BO.CO .

If ABC is a right triangle right-angled at B and M, N are the midpoints of AB and BC respectively. Then 4 (AN^2 + CM^2) =

BL and CM are medians of a triangle ABC right angled at A. Prove that 4(BL^(2) + CM)^(2) = 5 BC^(2) .

In a right triangle ABC right-angled at B, if P and Q are points on the side AB and AC respectively, then___

In triangle ABC, if a = 2 and bc = 9, then prove that R = 9//2Delta

In the right-angled ABC, /_A =1 right angle. BE and CF are two medians of Delta ABC . Prove that 4 ( BE^(2) + CF^(2)) =5 BC^(2)