Relation between Areas of Squares Drawn on Sides of a Right Triangle

Q.

The area of a square field is $9hectares$. A man cycles along its boundary at$18km/h$. In how much time will he return to starting point?

Q.

Three squares are constructed on each side of the triangle as shown, with the length of each square equal to the side of the triangle on which it is constructed. The angle opposite to the blue colour square is the right angle. If the two small sides are 8 cm and 15 cm, then the area of the blue square is _____.

1. 289 $c{m}^2$

2. 578 $c{m}^2$

3. 143 $c{m}^2$

4. 144.5 $c{m}^2$

Q.

Refer to the following figure. Three squares are constructed on each side of the triangle as shown, with the length of each square equal to the side of the triangle on which it is constructed. The angle opposite to the blue colour square is the right angle. If the largest side 5 cm, then find the sum of the area of the yellow square and brown square.

1. 4 $c{m}^2$

2. 13 $c{m}^2$

3. 9 $c{m}^2$

4. 25 $c{m}^2$

Q.

Refer to the following figure. Three squares are constructed on each side of the triangle as shown, with the length of each square equal to the side of the triangle on which it is constructed. The angle opposite to the blue colour square is the right angle. If the largest side is 13, then sum of the areas of the three squares is _____.

1. 338 sq.units

2. 169 sq.units

3. 13 sq.units

4. 380 sq.units

Q. Refer to the following figure. Three squares are constructed on each side of the triangle as shown, with the length of each square equal to the side of the triangle on which it is constructed. The angle opposite to the blue coloured square is the right angle. If the largest side is 17 cm, then find the sum of the areas of the three squares.

Q.

Three squares are constructed on each side of the triangle as shown, with the length of each square equal to the side of the triangle on which it is constructed. The angle opposite to the blue colour square is the right angle. If the small two sides are 5 cm and 12 cm, then find the area of the blue square.

Q.

Refer to the following figure. Three squares are constructed on each side of the triangle as shown, with the length of each square equal to the side of the triangle on which it is constructed. The angle opposite to the blue colour square is the right angle. If the largest side is 17 cm, then find the sum of the areas of the three squares.

1. 289 $c{m}^2$

2. 578 $c{m}^2$

3. 143 $c{m}^2$

4. None