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Determine the type of triangle that is drawn below

Determine the type of triangle that is drawn below-example-1
User Alexander McNulty
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1 Answer

25 votes
25 votes

Answer:

Obtuse Scalene Triangle

Explanation:

Given the triangle whose interior angles have the following measures: m∠124° , m∠33°, and m∠23°.

A triangle is classified as an "obtuse scalene triangle" if one of its interior angles has a measure of greater than 90°, but is less than 180°, while the other two interior angles have measures of less than 90°. Since the sides and interior angles have varying lengths and measures, respectively, then it is also considered as a scalene triangle. Having these combined characteristics of an obtuse interior angle, and the different sides and interior angles constitute an obtuse scalene triangle.

As we can see in the given diagram, one of the interior angles has a measure of ∠124°, which is considered as an "obtuse angle." The other two interior angles have measures of ∠23° and ∠33°. We can also see in the diagram that the triangle has different side lengths of 10.14, 6.74, and 4.68. Since the given triangle has varying side lengths and interior angles, for which one of the interior angles is an obtuse angle, then it means that the given triangle can be classified as an obtuse scalene triangle.

User McX
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