Math  /  Geometry

Question䯚, Classify this triangle by its sides and angles.
新 right and equilateral right and scalene acute and scalene acute and equilateral

Studdy Solution

STEP 1

1. We have a triangle with all three sides marked as equal.
2. We need to classify the triangle by its sides and angles.

STEP 2

1. Classify the triangle by its sides.
2. Classify the triangle by its angles.

STEP 3

Since all three sides of the triangle are marked as equal, the triangle is classified as equilateral by its sides. An equilateral triangle has all sides of equal length.

STEP 4

In an equilateral triangle, all angles are equal. Since the sum of angles in any triangle is 180180^\circ, each angle in an equilateral triangle measures:
1803=60 \frac{180^\circ}{3} = 60^\circ
Since all angles are 6060^\circ, which are less than 9090^\circ, the triangle is classified as acute by its angles. An acute triangle has all angles less than 9090^\circ.
The triangle is classified as:
acute and equilateral \text{acute and equilateral}

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