Question

Find the diagonal of a square whose area is 64sq.m

Answer 1

Answer:

Heya Mate..!!

We know that, the diagonal of a square along with any two adjacent sides of a square makes a right traingle where the two sides are the base and height and the diagonal is the hypotenuse.

So, to find the hypotenuse we have to use the Pythagoras' Theorem.

Pythagoras' Theorem states that...

(Hypotenuse)^2=(Base)^2+(Height)^2

Again, given area=64 sq. m

=> side×side=64 sq. m

=> side=√64 =8 m

So, let AC= Hypotenuse

AB= Base = 8 m

BC= Height = 8 m

Now, using Pythagoras' Theorm,

AC=√{(AB)^2 + (BC)^2}

AC=√{(8)^2 + (8)^2}

AC=√(64+64)

AC=√128

AC= 11.31 m

:. The diagonal of the given square= 11.31 m

So, frnd if you like my answer then please mark me as the bainliest...

Stay Good....Stay Healthy..!!✌️✌️