In trapezoid ABCD with bases AD = 7, BC = 4, the area of triangle ABD is 28. Find the area of triangle ABC.

univerkov | September 8, 2021 | education

Since the height BH is common for triangles ABD and ABC, the ratio of the areas of the triangles is equal to the ratio of their bases.

Savs / Sasd = BC / AD.

Savs = Sasd * BC / AD = 28 * 4/7 = 16 cm2.

Answer: The area of the triangle ABC is 16 cm2.

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