Question

select which terms correctly describe the following triangle. select all that apply.

equilateral
scalene
acute
isosceles
obtuse
right

Explanation:

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<reasoning>

Analyze the angle markings

The triangle has three distinct angle markings:

• One single arc
• One double arc
• One triple arc

These different markings indicate that all three interior angles have different measures.

Classify by side lengths

Since all three interior angles are unequal, the lengths of the opposite sides must also be unequal. A triangle with three unequal sides is classified as a scalene triangle.

Classify by angle measures

Looking at the largest angle (the one with the single arc on the left-top):

• It is visibly greater than \(90^\circ\).
• An angle greater than \(90^\circ\) is an obtuse angle.
• A triangle containing one obtuse angle is classified as an obtuse triangle.

</reasoning>

<answer>
<mcq-option>Equilateral</mcq-option>
<mcq-correct>Scalene</mcq-correct>
<mcq-option>Acute</mcq-option>
<mcq-option>Isosceles</mcq-option>
<mcq-correct>Obtuse</mcq-correct>
<mcq-option>Right</mcq-option>
</answer>

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Answer:

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"Triangle Classification",
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"Side Classification"
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</pre_analysis>

<reasoning>

Analyze the angle markings

The triangle has three distinct angle markings:

• One single arc
• One double arc
• One triple arc

These different markings indicate that all three interior angles have different measures.

Classify by side lengths

Since all three interior angles are unequal, the lengths of the opposite sides must also be unequal. A triangle with three unequal sides is classified as a scalene triangle.

Classify by angle measures

Looking at the largest angle (the one with the single arc on the left-top):

• It is visibly greater than \(90^\circ\).
• An angle greater than \(90^\circ\) is an obtuse angle.
• A triangle containing one obtuse angle is classified as an obtuse triangle.

</reasoning>

<answer>
<mcq-option>Equilateral</mcq-option>
<mcq-correct>Scalene</mcq-correct>
<mcq-option>Acute</mcq-option>
<mcq-option>Isosceles</mcq-option>
<mcq-correct>Obtuse</mcq-correct>
<mcq-option>Right</mcq-option>
</answer>

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