# Answer to Question #22291 in Geometry for rudy andrade

Question #22291

A triangle has side lengths of 10, 24, and 30. What type of triangle is it?

Expert's answer

Let's use the Pythagorean Theorem:

a² + b² ? c².

If the left side is bigger, it's an acute triangle. If the right side is bigger, it's an obtuse triangle. If they are equal, it's a right triangle.

This one gives us

10² + 24² ? 30²,

or

676 < 900,

so it is an obtuse triangle.

a² + b² ? c².

If the left side is bigger, it's an acute triangle. If the right side is bigger, it's an obtuse triangle. If they are equal, it's a right triangle.

This one gives us

10² + 24² ? 30²,

or

676 < 900,

so it is an obtuse triangle.

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Assignment Expert17.06.13, 14:31You're welcome. We are glad to be helpful.

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Brayan Alvarado14.06.13, 17:17thank you it helped me a lot :)

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