Question

In a right angled triangle, if the length of sides are 3 cm and 4 cm, then the length of hypotenuse is

a. 4 cm
b. 6 cm
c. 5 cm
d. 2 cm

Answer 1

In a right angled triangle, the length of the hypotenuse can be found using the Pythagorean theorem. The squares of the two sides are 3^2 and 4^2, which are 9 and 16 respectively. Therefore, the length of the hypotenuse is the square root of the sum of the squares, which is 25. So, the length of the hypotenuse is 5 cm, option c is correct.

Step-by-step explanation:

In a right angled triangle, the length of the hypotenuse can be found using the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the squares of the two sides are 3^2 and 4^2, which are 9 and 16 respectively.

Therefore, the length of the hypotenuse is the square root of the sum of the squares, which is the square root of 9 + 16 = 25.

So, the length of the hypotenuse is 5 cm, option c.