Questions: Classify each triangle by its sides (scalene, isosceles, or equilateral) as well as by its angles (acute, obtuse, or right).

Transcript text: Classify each triangle by its sides (scalene, isosceles, or equilateral) as well as by its angles (acute, obtuse, or right).

Solution

Solution Steps

Step 1: Classify Triangle 1

The first triangle has two equal sides (marked with hash marks) and three equal angles (marked with identical arc symbols).

Step 2: Classify Triangle 2

The second triangle has two equal sides and two equal angles. One side is longer than the other two. Also, one of the angles is larger than the two equal angles (note that the two equal angles are acute). Hence, the largest angle must be greater than 60 degrees (sum of angles in a triangle is 180 degrees). So the larger angle must be obtuse.

Step 3: Classify Triangle 3

The third triangle has three sides of different lengths, meaning it has three different angles. One of the angles is a right angle (90 degrees). The other two angles must be acute since the sum of the angles in any triangle equals 180 degrees.

Final Answer

Isosceles, Equiangular
Isosceles, Obtuse
Scalene, Right

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