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Home » Is the triangle with sides 25 cm, 5 cm and 24 cm a right triangle? Give reason for your answer.
Is the triangle with sides 25 cm, 5 cm and 24 cm a right triangle? Give reason for your answer.
CBSE | Class 10 | Exercise 6.2 | Maths | NCERT Exemplar | Triangles
Is the triangle with sides 25 cm, 5 cm and 24 cm a right triangle? Give reason for your answer.

Solution:

False

According to the given question,

Let’s assume that,

A\text{ }=\text{ }25\text{ }cm

B\text{ }=\text{ }5\text{ }cm

C\text{ }=\text{ }24\text{ }cm

Using the Pythagoras Theorem,

We obtain,

{{A}^{2}}~=\text{ }{{B}^{2}}~+\text{ }{{C}^{2}}

{{B}^{2}}~+\text{ }{{C}^{2}}~=\text{ }{{\left( 5 \right)}^{2}}~+\text{ }{{\left( 24 \right)}^{2}}

{{B}^{2}}~+\text{ }{{C}^{2}}~=\text{ }25\text{ }+\text{ }576

{{B}^{2}}~+\text{ }{{C}^{2}}~=\text{ }601

{{A}^{2}}~=\text{ }600

600\text{ }\ne \text{ }601

{{A}^{2}}~\ne \text{ }{{B}^{2}}~+\text{ }{{C}^{2}}

As it is observed that the sides doesn’t satisfy the property of Pythagoras theorem, as a result the triangle with sides 25cm, 5cm and 24cm is not a right angled triangle.

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