Revisiting Angle Side Relationships in Triangles

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third 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 relationship between the angles and sides in a triangle?

Back

In a triangle, the larger the angle, the longer the side opposite that angle.

Front

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

Back

You can find the measure of an unknown angle by using the fact that the sum of the angles in a triangle is always 180 degrees.

Front

What is the definition of an obtuse triangle?

Back

An obtuse triangle is a triangle that has one angle measuring more than 90 degrees.

Front

What is the definition of an acute triangle?

Back

An acute triangle is a triangle where all three angles are less than 90 degrees.

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring exactly 90 degrees.

Front

If angle J is 35 degrees and angle K is 55 degrees, what is the measure of angle L?

Back

Angle L measures 90 degrees, since 35 + 55 + 90 = 180.

Front

What is the relationship between the sides of a right triangle?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (Pythagorean theorem).

Front

What is the definition of a scalene triangle?

Back

A scalene triangle is a triangle in which all three sides are of different lengths.