Question

The base and the 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.​

Answer 1

Let ABCD is a parallelogram with side AB = CD = 10 cm (since opposite sides of parallelogram are equal) and corresponding altitude AM = 12 cm. The other side is AD and the corresponding altitude is CN = 8 cm.

We know that area of a parallelogram = Base x Height We have two altitudes and two corresponding bases.

so, by equating them we get AD x CN = CD x AM AD x 8 = 10 x 12 AD = (10×12)/8 = 15 cm

Hence, the length of the other pair of the parallel side = 15 cm

Answer 2

Answer:

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Step-by-step explanation:

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