AX and DY are altitudes of two similar triangle `DeltaABC` and `DeltaDEF`. Prove that `AX:DY=AB:DE`.

CM and RN are respectively the medians of similar triangle DeltaABC and DeltaPQR . Prove that DeltaAMC~DeltaPNR

CM and RN are respectively the medians of similar triangle DeltaABC and DeltaPQR . Prove that DeltaCMB~DeltaRNQ

CM and RN are respectively the medians of similar triangle DeltaABC and DeltaPQR . Prove that (CM)/(RN)=(AB)/(PQ)

In the figure D, E are points on the sides AB and AC respectively of DeltaABC such that ar(DeltaDBC) = ar(DeltaEBC) . Prove that DE || BC.

Draw axes of symmetry for equilateral triangle.

Given that DeltaABC~DeltaPQR , CM and RN are respectively the medians of DeltaABC and DeltaPQR . Prove that (CM)/(RN)=(AB)/(PQ)

Prove that if the area of two similar triangles are equal, then they are congruent.

BE and CF are two equal altitudes of a triangle ABC. Using RHS congruence rule, prove that the triangle ABC is isosceles.

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

In an equilateral triangle ABC, if AD is the altitude prove that 3AB^2 = 4AD^2 .