A triangle has sides with lengths of 2cm , 3cm , 4 cm. Is it a right triangle?

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giorgiana1976 | College Teacher | (Level 3) Valedictorian

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To verify if the given triangle is right, we'll have to use the converse of Pythagorean theorem. This means that if the sum of the squares of the smaller lengths is equal to the square of the largest length, then the triangle is right.

We notice that the largest length is of 4cm and we'll apply the converse of Pythagorean theorem.

`4^2 = 2^2 + 3^2`

`16 = 4 + 9`

`16 != 13` => the given triangle, whose lengths of the sides are 2cm,3cm and 4cm is not a right angled triangle.