ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (see figure). Show that

`DeltaABE~=DeltaACF`

ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (see Fig. 7.32). Show that (i) DeltaA B E~=DeltaA C F (ii) A B\ =\ A C , i.e., ABC is an isosceles triangle.

ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (see figure). Show that AB=AC, i.e., ABC is an isosceles triangle.

ABC is a triangle in which altitude BE and CF drawn on AC and AB respectively are equal. Prove that DeltaBEC~=DeltaCFB

ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively (see Fig. 7.31). Show that these altitudes are equal.

Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of DeltaPQR (see figure). Show that DeltaABC~=DeltaPQR

D is a point on side BC of triangle ABC such that AD = AC (see figure). Show that AB gt AD .

Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of DeltaPQR (see figure). Show that Delta ABM ~= DeltaPQN

In the given figure, BE and CF are two equal altitudes of DeltaABC . Show that (i) DeltaABE~=DeltaACF , (ii)AB = AC.

ABC is a triangle in which AB=AC.D and E are points on the sides AB and AC respectively,such that AD=AE .Show that the points ' B