In a gm ABCD, it is given that AB = 16 cm and the altitudes corresponding to sides AB and AD are 6 cm and 8 cm respectively. Find the length of AD.

Question

KnowledgeBoat · Accepted Answer

Given, AB = 16 cm BF = 8 cm DE = 6 cm We know that, Area of gm = Base × Height Area of gm ABCD = AB × DE = 16 × 6 = 96 cm2. Considering side AD, Area of gm ABCD = Base × Height 96 = AD × BF 96 = AD × 8 AD = AD = 12 cm. Hence, length of AD is 12 cm.

Mathematics

In a ∥ gm ABCD, it is given that AB = 16 cm and the altitudes corresponding to sides AB and AD are 6 cm and 8 cm respectively. Find the length of AD.

Theorems on Area

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