#5.1 Angles of Triangles

Front

What is a triangle?

Back

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.

Front

What are the types of triangles based on sides?

Back

1. Scalene: All sides are of different lengths. 2. Isosceles: Two sides are of equal length. 3. Equilateral: All three sides are of equal length.

Front

What are the types of triangles based on angles?

Back

1. Acute: All angles are less than 90 degrees. 2. Right: One angle is exactly 90 degrees. 3. Obtuse: One angle is greater than 90 degrees.

Front

How do you classify a triangle with two equal sides and one angle less than 90 degrees?

Back

It is classified as an Isosceles Acute triangle.

Front

How do you classify a triangle with all sides of different lengths and one angle equal to 90 degrees?

Back

It is classified as a Scalene Right triangle.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

If one angle of a triangle is 90 degrees, what can you say about the other two angles?

Back

The other two angles must be acute and their sum must equal 90 degrees.

Front

What is the formula to find the missing angle in a triangle?

Back

The missing angle can be found using the formula: Missing Angle = 180 - (Angle1 + Angle2).

Front

If a triangle has angles measuring 60 degrees and 70 degrees, what is the measure of the third angle?

Back

The third angle measures 50 degrees.

Front

What is an exterior angle of a triangle?

Back

An exterior angle is formed by one side of the triangle and the extension of an adjacent side. It is equal to the sum of the two opposite interior angles.