QP: 5-5 Ineq's in Two Triangles

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Front

If two sides of a triangle are known, how can you find the range of possible values for the third side?

Back

The length of the third side must be greater than the difference of the two known sides and less than the sum of the two known sides.

Front

What does it mean if one angle of a triangle is larger than another?

Back

If one angle is larger than another, the side opposite the larger angle is longer than the side opposite the smaller angle.

Front

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

Back

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

Front

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

Back

In a triangle, larger angles are opposite longer sides, and smaller angles are opposite shorter sides.

Front

How can you compare two sides of a triangle using their opposite angles?

Back

If one side is longer than another, the angle opposite the longer side is larger than the angle opposite the shorter side.

Front

What is the significance of the notation BC > EF in triangle comparisons?

Back

The notation BC > EF indicates that the length of side BC is greater than the length of side EF.

Front

How do you order the sides of a triangle from longest to shortest?

Back

To order the sides, compare the angles opposite each side; the side opposite the largest angle is the longest.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What is the difference between acute, obtuse, and right triangles?

Back

An acute triangle has all angles less than 90 degrees, an obtuse triangle has one angle greater than 90 degrees, and a right triangle has one angle equal to 90 degrees.