Question

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

scalene
equilateral
obtuse
acute
isosceles
right

Explanation:

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<reasoning>

Analyze the angle markings

The triangle has one angle marked with a square symbol, indicating a right angle (\(90^\circ\)). The other two angles are marked with single arcs, but they are clearly acute. A triangle with one right angle is classified as a right triangle.

Analyze the side lengths

The three sides of the triangle have different lengths, and the two acute angles are unequal (one is visually larger than the other, and no tick marks indicate equal sides or angles). A triangle with three unequal sides is classified as a scalene triangle.

Evaluate the options

• Scalene: Correct, as all three sides have different lengths.
• Equilateral: Incorrect, as all three sides are not equal.
• Obtuse: Incorrect, as it does not have an angle greater than \(90^\circ\).
• Acute: Incorrect, as it has a right angle, not three acute angles.
• Isosceles: Incorrect, as it does not have two equal sides.
• Right: Correct, as it has one \(90^\circ\) angle.

</reasoning>

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

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Answer:

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<reasoning>

Analyze the angle markings

The triangle has one angle marked with a square symbol, indicating a right angle (\(90^\circ\)). The other two angles are marked with single arcs, but they are clearly acute. A triangle with one right angle is classified as a right triangle.

Analyze the side lengths

The three sides of the triangle have different lengths, and the two acute angles are unequal (one is visually larger than the other, and no tick marks indicate equal sides or angles). A triangle with three unequal sides is classified as a scalene triangle.

Evaluate the options

• Scalene: Correct, as all three sides have different lengths.
• Equilateral: Incorrect, as all three sides are not equal.
• Obtuse: Incorrect, as it does not have an angle greater than \(90^\circ\).
• Acute: Incorrect, as it has a right angle, not three acute angles.
• Isosceles: Incorrect, as it does not have two equal sides.
• Right: Correct, as it has one \(90^\circ\) angle.

</reasoning>

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

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