7.2 - 7.3 Triangle Inequality

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

How can you classify a triangle based on its sides?

Back

Triangles can be classified as equilateral (all sides equal), isosceles (two sides equal), or scalene (all sides different).

Tags

CCSS.4.G.A.2

Front

How can you classify a triangle based on its angles?

Back

Triangles can be classified as acute (all angles less than 90 degrees), right (one angle is exactly 90 degrees), or obtuse (one angle is greater than 90 degrees).

Tags

CCSS.4.G.A.2

Front

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

Back

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

Tags

CCSS.HSG.CO.C.10

Front

If a triangle has sides of lengths 3, 8, and 9, what can you conclude about its validity?

Back

The triangle is valid because the sum of the lengths of any two sides (3 + 8 > 9, 3 + 9 > 8, 8 + 9 > 3) satisfies the Triangle Inequality Theorem.

Front

What is an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length.

Tags

CCSS.4.G.A.2

Front

What is a right triangle?

Back

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

Tags

CCSS.4.G.A.2

Front

How do you determine the longest side of a triangle?

Back

The longest side of a triangle can be determined by comparing the lengths of all three sides.

Front

What is the significance of the largest angle in a triangle?

Back

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

Tags

CCSS.HSG.CO.C.10

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.

Tags

CCSS.8.G.A.5