Question

find the length of a diagonal of a rectangle whose sides are 7 and 14 cm​

Answer 1

$\bigstar$ Question :

$\longrightarrow$ Find the length of a diagonal of a rectangle whose sides are 7 cm and 14 cm.

$\bigstar$ To Find :

$\longrightarrow$ Length of diagonal of rectangle =?

$\bigstar$ Given :

$\longrightarrow$ $\tt{Sides\:= 7\:cm\:and\:14\:cm}$

$\bigstar$ Required Formula :

$\implies\mathtt{D^{2} = l^{2} + b^{2} }$

$\bigstar$ Solution :

Let us consider that,

$\implies \mathtt{l =7 \:cm\:and\:b = 14\: cm}$

Therefore,

$\implies\mathtt{D^{2} = 7^{2} + 14^{2} }$

$\implies$ $\mathtt{D^{2}= 49 + 196}$

$\implies$ $\mathtt{D^2= 245}$

Taking square on both sides we'll get:

$\implies$ D = $\mathtt{\sqrt{245} }$

$\implies$ D = 15.6 cm

Thus,the length of the diagonal of rectangle is 15.6 cm

________________________________________________