Ordering Triangle Sides & Angles

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 rule for ordering sides of a triangle based on angle measures?

Back

The sides of a triangle can be ordered from least to greatest based on the measures of the opposite angles.

Front

What is the longest side in a triangle?

Back

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

Front

How do you determine the smallest angle in a triangle?

Back

The smallest angle in a triangle is located opposite the shortest side.

Front

What is the significance of 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

How can you identify the longest leg of a journey involving multiple points?

Back

To identify the longest leg of a journey, compare the distances between each pair of points.

Front

What is the relationship between side lengths and angle measures in a triangle?

Back

In a triangle, larger angles correspond to longer sides, and smaller angles correspond to shorter sides.

Front

How do you find the side lengths of a triangle when given the angles?

Back

You can use the Law of Sines or the Law of Cosines to find side lengths when given angle measures.

Front

What is the Law of Sines?

Back

The Law of Sines states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant for all three sides.