Question

Find the area of square whose diagonal is 6cm

Answer 1

SIDE OF THE SQUARE= A
DIAGONAL= 6CM
HERE WE COULD GET TWO RIGHT ANGLE TRIANGLES
SO    A²+A²=6²
2A²=36
A²=36/2
A²=18
THE AREA OF THIS SQUARE IS 18 CM²

Answer 2

The area of square is 18 cm².

Given - Diagonal

Find - Area of square

Solution - The diagonal of square and the adjacent two sides will together form the right angled triangle. As all the sides are equal, let us assume the side to be x.

Now, using Pythagoras theorem to find the value of x².

Hypotenuse² = Base² + Perpendicular²

6² = x² + x²

Performing addition on Right Hand Side

36 = 2x²

Shifting 2 to other side of equation and finding the value of x².

${x}^{2} = \frac{36}{2}$

Performing Division to find the value of x²

${x}^{2} = 18$

The area of area of square is product of two sides. So, the value calculated above is area of square.

Hence, the area of square is 18 cm².

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