Question

Now can you draw a square of area 11 square centimeters?

Answer 1

Area of the given square = 11 cm²

Also, 11 = 6²− 5²

We know, by Pythagoras’ Theorem, that in a right-angled triangle, the area of the square on the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

Using the Pythagorean Theorem, we can draw the required square.

The following steps should be followed to draw the required square.

(1) Draw a right-angled triangle of base length 5 cm and hypotenuse of length 6 cm.

(2) Draw a square on the third side of the triangle drawn above.