The base and corresponding altitude of a parallelogram are 10 cm and 12 CM respectively if the other altitude is 8 cm find the length of the Other pair of parallel sides
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ABCD be the parallelogram.
AM be the altitude corresponding to the base CD and CN be the altitude corresponding to the base AD.
It is given AM = 12 cm, CD = 10 cm and CN = 8 cm.
We know that area of parallelogram = base × corresponding height
∴ area of parallelogram ABCD = CD × AM
= (10 × 12) cm2 ...(1)
Also, area of parallelogram ABCD = AD × CN
= AD × 8 cm2 ...(2)
Equating (1) and (2)
10 × 12 = AD × 8
AD×8 =10×12
AD =120÷8
AD =15
Hence, length of the other pair of parallel side is 15 cm.
AM be the altitude corresponding to the base CD and CN be the altitude corresponding to the base AD.
It is given AM = 12 cm, CD = 10 cm and CN = 8 cm.
We know that area of parallelogram = base × corresponding height
∴ area of parallelogram ABCD = CD × AM
= (10 × 12) cm2 ...(1)
Also, area of parallelogram ABCD = AD × CN
= AD × 8 cm2 ...(2)
Equating (1) and (2)
10 × 12 = AD × 8
AD×8 =10×12
AD =120÷8
AD =15
Hence, length of the other pair of parallel side is 15 cm.
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