Question

the diagonal and one side of the rectangular field are 289 mtrs. and 161 mtrs respectively. find the other side.

Answer 1

other side =
$\sqrt{ {289}^{2} - {161}^{2} }$
240 m

Answer 2

The side BC is 240m.

Given:

The diagonal and one side of the rectangular field are 289 mtrs. and 161 meters respectively.

To Find:

The other side.

Solution:

To find the side of the rectangle we will follow the following steps:

Let ABCD is the rectangle and be the diagonal = 289m

And,

AB = 161 meters

BC =?

Now,

Using Pythagoras' theorem,

${AC}^{2} = {AB}^{2} + {BC}^{2}$

Now,

In putting values we get,

${289}^{2} = {161}^{2} + {BC}^{2}$

$83521 = 25921 + {BC}^{2}$

${BC}^{2} = 83521-25921 = 57600$

$BC = \sqrt{57600} = 240m$

Henceforth, the side BC is 240m.

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