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Which of the following could represent the length of 3 sides in a right triangle.

User Damote
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1 Answer

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For a right triangle, according to Pythagorus theorem,


c^2=a^2+b^2

Here, c is the hypotenuse, a, b- length of other two sides.

The longer side is called the hypotenuse of a right triangle.

Conside option 1

1.6, 6.3, 6.5

6.5 is the longest side.


\begin{gathered} 6.5^2=42.25 \\ 6.3^2+1.6^2=42.25 \\ 6.5^2=6.3^2+1.6^2 \end{gathered}

Since side lengths 1.6, 6.3, 6.5 obeys Pythagorus theorem, the sides is of a right triangle.

The other given ste of sides does not follow Pythagorus theorem.

Consider 1.1, 6.3 , 6.5


6.5^2\\e1.1^2+6.3^2

Consider 4, 5, 6.


6^2\\e4^2+5^2

Consider 1.7, 14.4. 43.3.


43.3^2\\e14.4^2+1.7^2

Hence, 1.6, 6.3, 6.5 is correct.

User Johnny Westlake
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