If the length of the diagonal of a square is 12 c.m. What is the area ?
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By Pythagoras theorem
We get,
x^2 + x^2 = 144 (12^2)
(All the sides in a square are equal)
So 2x^2 = 144
x^2 = 144/2 = 72
x = root of 72
Now,
Area of sq is = side x side
Side is = Root of 72
So area is = root of 72 x root of 72
Which is equal to 72
Final answer: 72cm^2
We get,
x^2 + x^2 = 144 (12^2)
(All the sides in a square are equal)
So 2x^2 = 144
x^2 = 144/2 = 72
x = root of 72
Now,
Area of sq is = side x side
Side is = Root of 72
So area is = root of 72 x root of 72
Which is equal to 72
Final answer: 72cm^2
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