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Question
The sides of certain triangles are given below. Determine which of them right triangles are.
9cm, 16cm, 18cm
Solution
For the given triangle to be right-angled, the sum of the two sides must be equal to the square of the third side.
Here, let the three sides of the triangle be a, b and c.
a = 9 cm, b = 16 cm and c = 18 cm
`a^2+b^2=9^2+16^2`
=81+256
=337
`c^2=19^2`
=361
`a^2+b^2≠c^2`
Thus, the given triangle is not right-angled.
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