Question

Of a square plot is 200 m square find the length of its diagonal

Answer 1

Area of square = 200 m²

( Side of square )² = 200

Side of square = √200

Side = √ ( 2 × 10 × 10 )

Side = 10√2 m

Now,

The angles between the sides of square is 90°.

•°•

By Pythagoras Theorem,

( Side )² + ( Side )² = ( Diagonal )²

( 10√2 )² + ( 10√2 )² = ( Diagonal )²

400 = ( Diagonal )²

Diagonal = √400

Diagonal = 20 m