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Classify this triangle.

Classify this triangle.-example-1
User Sargue
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1 Answer

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First, we'll take a look at the angle measures.

An obtuse triangle has one angle that is greater than 90 degrees.

An acute triangle has three angles that are less than 90 degrees.

A right triangle has one angle that is 90 degrees.

In the case of the given triangle, it has one angle that is greater than 90 degrees, so it must be an obtuse triangle.

Next, we'll look at the side lengths. One way to tell the side lengths without solving them is by looking at the angle measures. The shortest side is opposite the smallest angle, and the longest side is opposite the largest angle. If two angles are the same, then there would be two sides that are the same.

A scalene triangle has three sides that are all different lengths.

An iscosceles triangle has two sides that are the same length.

An equilateral triangle has three sides that are all the same length.

In the case of the given triangle, all of the angle measures are different, so all of the sides must be different, so it must be a scalene triangle.

Answer: Obtuse, Scalene

(Option C / third option)

Hope this helps!

User Nastassja
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