The diagonal BD is drawn in the parallelogram ABCD, the area of which is 62 cm2. Find the area of the triangle CBD.

univerkov | February 28, 2021 | education

Since the opposite sides of the parallelogram are equal, AB = CD, AD = BC.

Then the triangles ABD and BCD are equal on three sides, then the areas of the triangles are also equal.

Savd = Savd + Ssvd = 2 * Ssvd = 62 cm2.

Ssvd = Savsd / 2 = 62/2 = 31 cm2.

Answer: The area of the triangle CBD is 31 cm2.

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