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Is the triangle with sides 25 cm, 5 cm and 24 cm a right triangle? Give reason for your answer.

Solution

False

As per the inquiry,

Allow us to expect to be that,

A = 25 cm

B = 5 cm

C = 24 cm

Presently, Using Pythagoras Theorem,

We have,

\[A2\text{ }=\text{ }B2\text{ }+\text{ }C2\]

\[B2\text{ }+\text{ }C2\text{ }=\text{ }\left( 5 \right)2\text{ }+\text{ }\left( 24 \right)2\]

\[B2\text{ }+\text{ }C2\text{ }=\text{ }25\text{ }+\text{ }576\]

\[B2\text{ }+\text{ }C2\text{ }=\text{ }601\]

\[A2\text{ }=\text{ }600\]

\[600\text{ }\ne \text{ }601\]

\[\begin{array}{*{35}{l}}

   A2\text{ }\ne \text{ }B2\text{ }+\text{ }C2  \\

   ~  \\

\end{array}\]

Since the sides doesn’t fulfill the property of Pythagoras hypothesis, triangle with sides 25cm, 5cm and 24cm is certainly not a right triangle.