Kerala Board Solutions for Chapter: Squares and Right Triangles, Exercise 1: Exercise 1

If the sides of the two squares are $2$ centimetres long, What is the area of each of these?

When we cut out two squares of the same size and rejoin to make a one large square, the length of a side of this large square is length of the diagonal of the small square.

Using this idea, can we draw a square of area $50$ square centimetres? 

When we cut out two squares of the same size and rejoin to make a one large square, the length of a side of this large square is length of the diagonal of the small square.

Using this idea, can we draw a square of area $32$ square centimetres? 

Suppose we cut a square of side $8$ centimetres by marking points $3$ centimetres from the corners. What is the area of this large square?

The figure given below:

The area of a square with side as $\mathrm{BC}$ is the sum of areas of squares described on other two sides.

To make the area of the largest square $25$, what would be the sides of the smaller squares?

The figure given below:

The area of a square with side as $\mathrm{BC}$ is the sum of areas of squares described on other two sides.

To make the area of the largest square $41$, what would be the sides of the smaller squares?

What is the length in $\mathrm{cm}$ of the fourth side of the quadrilateral shown below?

Some examples of Pythagorean triples are
 $3,4,5$ and $5,12,13$ and $8,15,17$.

Can you find some more?