Revisiting Angle Side Relationships in Triangles

Front

What is the Angle-Side Relationship in triangles?

Back

The Angle-Side Relationship states that in a triangle, the larger angle is opposite the longer side, and the smaller angle is opposite the shorter side.

Front

If two angles of a triangle are equal, what can be said about the sides opposite those angles?

Back

The sides opposite the equal angles are also equal in length.

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

How do you find the measure of an unknown angle in a triangle?

Back

To find an unknown angle, subtract the sum of the known angles from 180 degrees.

Front

What is the relationship between the sides and angles in a right triangle?

Back

In a right triangle, the side opposite the right angle is the longest (hypotenuse), and the other two sides are shorter.

Front

What is the definition of an isosceles triangle?

Back

An isosceles triangle is a triangle with at least two sides of equal length and the angles opposite those sides are equal.

Front

What is the definition of a scalene triangle?

Back

A scalene triangle is a triangle with all sides of different lengths and all angles of different measures.

Front

What is the definition of an equilateral triangle?

Back

An equilateral triangle is a triangle where all three sides are of equal length and all three angles are equal, each measuring 60 degrees.

Front

If angle A is 40 degrees and angle B is 70 degrees, what is angle C in triangle ABC?

Back

Angle C = 180 - (40 + 70) = 70 degrees.

Front

What is the relationship between the longest side and the largest angle in a triangle?

Back

The longest side of a triangle is always opposite the largest angle.