Question

7) A rectangle having length of a side is 12 and length of diagonal is 20 then what is length of other side? *

1 point

20

12

16

13​

Answer 1

20 is the sides of length and diagonal

Answer 2

$\huge\bf\purple{\mid{\overline{\underline{Option.C ) 16 }}}\mid}$

$\sf{\huge{\underline{\pink{Given :-}}}}$

• A rectangle having length of a side is 12 and length of diagonal is 20.

$\sf{\huge{\underline{\pink{To\:Find :-}}}}$

• The length of other side.

$\sf{\huge{\underline{\pink{Answer :-}}}}$

According to the question,

• A rectangle having length of a side = 12 unit

• The length of the diagonal of rectangle is = 20 unit.

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,2.74){\framebox(0.25,0.25)}\put(4.74,0.01){\framebox(0.25,0.25)}\put(2,-0.7){\sf\large 12 unit }\put(-0.5,-0.4){\bf A}\put(-0.5,3.2){\bf D}\put(5.3,-0.4){\bf B}\put(5.3,3.2){\bf C}\qbezier(0,0)(0,0)(5,3)\put(1.65,1.8){\sf\large 20 unit}\end{picture}$

We know that all angle of a rectangle is 90°.

Hence , we got a right triangle & two side we have to find third side.

Using the Pythagoras theorem,

(hypotenuse)² = (length)² + (breadth)²

➝ d² = l² + b²

➝ (20)² = (12)² + (b)²

➝ b² = (20)² - (12)²

➝ b² = 400 - 144

➝ b² = 256

➝ b = √ 256

➝ b = 16 units.

The length of other side is 16 units.