In a square,the length of a diagonal is 8. Fi | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Let the side length of the square be $a$.In a square,the diagonal $d$ is related to the side $a$ by the formula $d = a \sqrt{2}$.Given that the di

Vedclass · Accepted Answer

$4$

Vedclass · Answer

(C) Let the side length of the square be $a$.In a square,the diagonal $d$ is related to the side $a$ by the formula $d = a \sqrt{2}$.Given that the diagonal $d = 8$,we have $8 = a \sqrt{2}$.To find the side length $a$,we divide both sides by $\sqrt{2}$:$a = \frac{8}{\sqrt{2}}$.Rationalizing the denominator:$a = \frac{8}{\sqrt{2}} 	imes \frac{\sqrt{2}}{\sqrt{2}} = \frac{8 \sqrt{2}}{2} = 4 \sqrt{2}$.Thus,the length of the side of the square is $4 \sqrt{2}$.

In a square,the length of a diagonal is $8$. Find the length of the sides of the square. (in $\sqrt{2}$)

Similar Questions

In rectangle $ABCD$,$AB + BC = 23$ and its area is $120$. If $AB > BC$,then $AB = \ldots$

Out of the following triplets,$\ldots \ldots \ldots \ldots$ is not a Pythagorean triplet.

In $\Delta PQR$,$m \angle Q = 90^{\circ}$ and $\overline{QD}$ is an altitude to the hypotenuse $PR$. If $PD = 25 DR$,prove that $PQ = 5 QR$.

In $\Delta ABC$,$A-P-B$,$A-Q-C$ and $\overline{PQ} \parallel \overline{BC}$. If $AP = 2$,$AB = 6$ and $AC = 9$,find $AQ$.

In $\Delta ABC$,$m \angle B = 90^{\circ}$ and $\overline{BM}$ is a median. If $AB = 20$ and $BC = 21$,find $BM$. (in $.5$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module