+3 votes
in Class 11 by kratos

Draw a square of area 5 square centimetres in three different ways. (Recall Pythagoras theorem)

1 Answer

+6 votes
by kratos
 
Best answer

i. Draw a rectangle of length 5cm and width

1 cm.

Draw a semicircle of diameter AE. Extend BC up to F. √5 is the side of the square BGHF.

ii. Draw a right-angled triangle of perpendicular sides 2 cm and 1cm.

Hypotenuse will be y is cm. The area of the square ACDE is 5 cm2 , because here we take the hypotenuse as sides of the square.

iii. Draw a right-angled triangle of hypotenuse 3 cm and one side 2cm.

Third side = (\sqrt{3^2-2^2}=\sqrt{5})cm

Draw a square having side BC, then area of the square BEDC will be 5cm2

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