Posted by **georgetooraw** on Tuesday, February 26, 2013 at 9:54pm.

A triangle has side lengths 24, 32, and 42. Is it a right triangle? Explain

- geometry -
**bobpursley**, Tuesday, February 26, 2013 at 9:58pm
no. the sides are in a ratio of 3:4:5.03

needs to be 3:4:5

- geometry -
**Jeff**, Tuesday, February 26, 2013 at 9:59pm
No...Use c^2=a^2+b^2.

Use a= 24, b= 32 and c= 42 (the longest side).

Take a^2 + b^2 and see if it eqauls c^2

If it does, it is a right angle. If it does not, it is not a right triange.

In this case, it does not, so it is not a right triangle.

- geometry -
**Jeff**, Tuesday, February 26, 2013 at 10:08pm
Keep in mind it does not have to be in ratio of 3:4:5 to be a right triangle, it has to make the equation c^2=a^2+b^2 true. Another common right triangle is 5,12,13.

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