# geometry

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

• geometry -

no. the sides are in a ratio of 3:4:5.03
needs to be 3:4:5

• geometry -

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 -

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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