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Determine whether the triangle whose length of side 3cm,4cm,5cm, ​

Answer»

Correct Question :-

Determine WHETHER the triangle whose length of side 3cm,4cm,5cm, is a right angled triangle .

Solution :-

={<klux>3</klux>}^{2}= 3 × 3 = 9;{4}^{2}=4×4 = 16;

{5}^{2}= 5×5 = 25.

We find:

{3}^{2}+ {4}^{2}= {5}^{2}.

\huge \underline \bold{Therefore,}

The triangle is right angled.

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Note: If any right angled triangle,the hypotenuse happens to be the longest side. In this question , the side with length with 5m is the hypotenuse.

More:

In a right-angled triangle,the sides have some special names. The side opposite to the right angle is called Hypotenuse.

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