Bisectors of the angles B and C of an isosceles triangle with AB = AC intersect each other at O. BO is produced to a point M. Prove that ∠MOC = ∠ABC.

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TextIsosceles Triangle Property of Equal AnglesNCERT Exemplar

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If ABC is an isosceles triangle with AB=AC. BD and CE are two medians of the triangle. Prove that BD=CE.

In the given figure, PQ=QR, ∠QPR = 48°, ∠SRP = 18°, then find the ∠QRS & ∠PQR.

Angle Sum Property of Triangle

Exterior Angle Theorem for Triangle

Isosceles Triangle Property of Equal Angles

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

In triangles ABC and PQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. The two triangles are

In △ ABC, the bisector AD of ∠ A is perpendicular to side BC (see Fig. 7.27). Show that AB = AC and △ ABC is isosceles.

In an isosceles triangle ABC with AB = AC, D and E are points on BC such that BE = CD (see Fig. 7.29). Show that AD = AE.