Question

ig each diagonal of square is 10 cm long then the area of square is​

Answer 1

A squares Diagonal Cuts it into Equi-isoceles Triangles...

and All Angles of a Square are 90°

By RHS criterion.

(Side)²+(side)²=(diagonal)²

→2(side)²=10²

→(Side)²=100/2

→Side=√50 cm.

So the area of a Square=Side ×Side=√50×√50

=50Cm²...

Answer 2

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$\sf \: Area = \frac{ {d}^{2} }{2} = \frac{ {10}^{2} }{2} = 50$

So area of given square is 50 cm²

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