Ordering Sides and Angles of Triangles

Front

What is the relationship between the angles and sides of a triangle?

Back

In a triangle, the largest angle is opposite the longest side, and the smallest angle is opposite the shortest side.

Front

How do you order angles in a triangle from largest to smallest?

Back

To order angles from largest to smallest, compare their measures; the angle with the greatest measure is the largest.

Front

What is the sum of the angles in any triangle?

Back

The sum of the angles in any triangle is always 180 degrees.

Front

If angle A is 90 degrees, what type of triangle is it?

Back

It is a right triangle.

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

How can you determine the longest side of a triangle given the angles?

Back

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

Front

What is the relationship between the sides of a triangle and the angles when given specific angle measures?

Back

The side lengths can be ordered based on the angle measures; larger angles correspond to longer sides.

Front

In triangle MNO, if m∠M=56, m∠N=108, and m∠O=16, which side is the longest?

Back

Side MO is the longest side because it is opposite the largest angle, m∠N.

Front

What is the rule for ordering sides based on angle measures?

Back

The rule states that if one angle is larger than another, the side opposite the larger angle is longer.