Question

The hypotenuse of right angled triangle is 65 cm, one side containing the right angle is 33 cm. Find the length of other side( sum to be solved by Pythagoras theorem) ​

Answer 1

Brief concept understanding :-

A right angled triangle are those triangles whose one angle is 90°

The side opposite to the angle of 90° is hypotenuse.

Given :-

• The hypotenuse of right angled triangle is 65cm

• The one side of the right angle is 33cm

Solutions :-

A Phythagoras theorem states that the square of hypotenuse is equal to the sum of square of other two sides that is base and perpendicular.

Let the other side be x

According to the question,

Hypotenuse is given 65 cm and one side is 33cm

Therefore,

By using Pythagoras theorem

H^2 = P^2 + B^2

Put the required values,

(AC)^2 = (AB)^2 + (BC)^2

(65)^2 = ( AB)^2 + (33)^2

4225 = ( AB)^2 + 1089

(AB)^2 = 4225 - 1089

( AB)^2 = 3136

AB = √3136

AB = 56cm

Hence, The another side is 56cm $.$