QuestionClassify the following triangle. Check all that apply. A. Obtuse B. Right C. Isosceles D. Scalene E. Acute F. Equilateral
Studdy Solution
STEP 1
1. We have a triangle with all angles labeled as .
2. All sides of the triangle are marked as equal.
3. We need to classify the triangle based on its angles and sides.
STEP 2
1. Classify the triangle based on its angles.
2. Classify the triangle based on its sides.
STEP 3
To classify the triangle based on its angles, we note that:
- An acute triangle has all angles less than .
- A right triangle has one angle exactly .
- An obtuse triangle has one angle greater than .
Since all angles in the triangle are , which are less than , the triangle is an acute triangle.
STEP 4
To classify the triangle based on its sides, we note that:
- An equilateral triangle has all sides equal.
- An isosceles triangle has at least two sides equal.
- A scalene triangle has all sides of different lengths.
Since all sides of the triangle are marked as equal, the triangle is an equilateral triangle. By definition, an equilateral triangle is also isosceles because it has at least two equal sides.
Based on the classifications:
- The triangle is acute (E).
- The triangle is equilateral (F).
- The triangle is also isosceles (C).
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