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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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.
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