Question

With which set of sides is it possible to draw a right triangle.

• A. 3 cm, 4 cm and 5 cm.
• B. 6 cm, 6 cm and 6 cm.
• C. 4 cm, 4 cm and 8 cm.
• D. 3 cm, 5 cm and 7 cm.

Answer 1

The correct option is A 3 cm, 4 cm and 5 cm.

We know that,

In a right angle triangle,

By Pythagoras theorem,

$H^2=P^2+B^2$

By part (1):-

Let

$Base=3cm.$

$Hypotenuse=5cm.$

$Perpendicular=4cm.$

Then,

$H^2=P^2+B^2$

$5^2=4^2+3^2$

$25=16+9$

$25=25$

Hence, it is a right angle triangle.

Part (2):-

All sides are equal

Hence, it is not right angle triangle.

Part (3):-

Two sides are equal and one side not equal then it is not right angle triangle.

Part (4):-

$H=7cm.$

$Base=3cm.$

$Perpendicular=5cm.$

Using Pythagoras theorem,

$H^2=P^2+B^2$

$7^2=5^2+3^2$

$49=25+9$

$49\ne 34$

Hence, it is not right angle triangle.