In the given figure, BC ∥ DE, area (ΔABC) = 25 cm², area (trap. BCED) = 24 cm² and DE = 14 cm. Calculate the length of BC.
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In the given figure, BC ∥ DE, area (ΔABC) = 25 cm2, area (trap. BCED) = 24 cm2 and DE = 14 cm. Calculate the length of BC.

KnowledgeBoat · Accepted Answer

Area of ΔADE = Area of ΔABC + Area of trapezium BCED = 25 + 24 = 49 cm2. Given, BC DE. In ΔABC and ΔADE, ∠ABC = ∠ADE [Corresponding angles are equal] ∠ACB = ∠AED [Corresponding angles are equal] ΔABC ΔADE by (By A.A. axiom) We know that, The ratio of the areas of two similar triangles is equal to the ratio of squares of their corresponding sides. Hence, BC = 10 cm.

Mathematics

In the given figure, BC ∥ DE, area (ΔABC) = 25 cm², area (trap. BCED) = 24 cm² and DE = 14 cm. Calculate the length of BC.

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