Question

9. If the length of a diagonal or
length of a diagonal of a square is 20 cm, find:
side of the square​

Answer 1

Step-by-step explanation:

Given,

length of the diagonal = 20 cm.

We know, diagonal of a square is found by the formula,

$d = \sqrt{2}a$

Where a is the side of square and d is the diagonal

But in this problem we've to find the side of the square, so rearranging the formula,

$a = \frac{d}{\sqrt{2}}$

Putting values

$\frac{20}{\sqrt{2}}\\ \\ \\ \implies \frac{20}{\sqrt{2}}\times \frac{\sqrt{2}}{\sqrt{2}} \implies \frac{20\sqrt{2}}{2}\\ \\ \\ \implies 20\sqrt{2} \\ \\ \\ \therefore \bf The\ side\ of\ the\ square\ is\ 10\sqrt{2}$

Answer 2

AnswEr :

⠀

☑ Given :

• Diagonal of a Square is 20 cm.

☑ To Find :

• Find the Side of Square.

☑ Solution :

• We Have Formula for Diagonal of Square as -

$\huge \boxed{ \bold{d = \sqrt{2}a }}$

Where ;

• d = Diagonal
• a = Side of Square

A.T.Q.

$\longrightarrow \large \bold{d = \sqrt{2}a }$

$\longrightarrow \large \bold{20 = \sqrt{2} a}$

$\longrightarrow \large \bold{ \frac{20}{ \sqrt{2} } = a }$

$\scriptsize \blacksquare \: \mathfrak{ \underline{we \: have \: to \: rationalise }\: \frac{20}{ \sqrt{2} } }$

$\longrightarrow \large \bold{ \frac{20}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = a }$

$\longrightarrow \large \bold{ \frac{20 \sqrt{2} }{2} = a}$

$\longrightarrow \huge \bold{a = 10 \sqrt{2} \: cm }$

$\large\therefore$ Side of the Square is 10√2 cm.