Question

Classify the following triangle

Answer 1

Types of Triangles (Angles):

---Acute = all angles are less than 90 degrees

---Right = one angle is equal to 90 degrees

---Obtuse = one angle is greater than 90 degrees

Types of Triangles (Side Lengths):

---Equilateral = all sides are the same length

---Isosceles = two sides are the same length

---Scalene = all sides are different lengths

The following triangle is obtuse and scalene. It has one angle that is greater than 90 degrees and its sides are all different lengths.

Hope this helps!

Answer 2

B. Scalene

E. Obtuse

Explanation:

Triangles can be classified in 2 different ways. They can be classified based on their sides and angles.

Sides

There are 3 different categories for the sides: scalene, isosceles, and equilateral.

• Scalene - these triangles have 3 sides that are all different lengths.
• Isosceles - Isosceles triangles have 2 congruent sides. This also means that they have 2 congruent angles.
• Equilateral - These triangles have all equal sides, which also means all the angles are also equal.

Angles

Triangles can be classified as acute, obtuse, or right based on their angles.

• Acute - Acute triangles only have acute angles. This means there is no angle over 89 degrees.
• Obtuse - Obtuse triangles have 1 obtuse angle. Obtuse angles are over 90 degrees.
• Right - Right triangles have 1 right angle. Remember that right angles are exactly 90 degrees.

Scalene Obtuse Triangle

The triangle above has no equal sides, so it must be scalene. Additionally, because one of the angles is 132 degrees, it must be an obtuse triangle.