Question

The length of one side of a right triangle is 24 cm and the length of its hypotenuse is 40 cm. Find the length of its third side.

Answer 1

Answer:

QUESTION:

The length of one side of a right triangle is 24 cm and the length of its hypotenuse is 40 cm. Find the length of its third side.

Given:

Length of one side of a right triangle = 24 cm

Hypotenuse = 40 cm

R.T.F:

The length of its third side

SOLUTION:

BY PYTHAGORAS THEOREM,

$AC {}^{2} =AB {}^{2} +BC {}^{2} \\ 40 {}^{2} \: \: \: = 24 {}^{2} + BC {}^{2} \\ 1600 \: = 576 + BC {}^{2} \\ BC {}^{2} \: = 1600 - 576 \\ BC {}^{2} \: =1024 \\ BC \: \: \: = \sqrt{1024} \\ BC \: \: \: = \: 32$

Length of third side is 32cm.

HOPE IT HELPS YOU:)

Answer 2

Question :

The length of one side of a right triangle is 24 cm and the length of its hypotenuse is 40 cm. find the length of its third side.

Answer :

Length a one side of a right triangle is - 24 cm.

Length of its hypotenuse is - 40 cm.

Find :

The length of its third side - ?

Solve :

We considered -

AC = 40 cm

BC = 24 cm.

By using Pythagoras theorem :

AB² + BC² = AC²

24² + BC² = 40²

576 + BC² = 1600

BC² = 1600 – 576

BC² = √1024

BC² = √32

BC² = 32

So, the length of its third side is 32 cm.