Question

In a parallelogram ABCD side AB = 16cm, side BC = 10cm. An altitude DM

on AB is 4cm. Find the length of altitude DM on BC.​

Answer 1

Given :  In a parallelogram ABCD side AB = 16cm, side BC = 10cm.

An altitude DM on AB is 4cm.

To Find : The length of altitude DN on BC.​

Solution:

Area of Parallelogram = Base * height

=>

Area of Parallelogram = AB x DM

or

Area of Parallelogram = BC  x DN

Equating Area

BC  x DN = AB x DM

=> 10 x DN = 16 x 4

=> DN = 6.4

length of altitude DN on BC. = 6.4 cm

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Answer 2

In a parallelogram ABCD :

Side AB = 16cm, Side BC = 10cm.

An altitude DM on AB is 4cm.

_________________________________

To Find : The length of altitude DN on BC.

_________________________________

Area of Parallelogram $\sf= Base× height$

Area of Parallelogram = AB x DM

__________________________________

$\sf BC \times DX = AB \times DM \\ = \sf10 \times DN = 16 \times 4 \\ \sf DN = 6.4$