# What is the area of the square when a diagonal is given ?

Question asked by: manuscott

Asked on: 09 Jun 2010

Diagonal of a square = 90 m

Let 'a' be the side of the square

Draw a rough diagram of a square. The diagonal cuts the square into two right angled triangles.

By Pythagorus Theorem,

Base squared+height squared = Hypotenuse squared

Here base=height=a; hypotenuse= 90 m

a squared + a squared = 90 squared=8100 m squared

2 x (a squared)= 8100

a squared = 8100/2 = 4050

Area of square = side squared

= a squared = 4050 m squared

By: appuswathi

Replied at: 10 Jun 2010

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