Triangle Inequalities

Front

What is an angle bisector?

Back

An angle bisector is a line or ray that divides an angle into two equal parts.

Tags

CCSS.HSG.CO.C.9

Front

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

Back

The angles can be ordered based on the lengths of the sides opposite to them; the smallest angle is opposite the shortest side, and the largest angle is opposite the longest side.

Tags

CCSS.HSG.CO.C.10

Front

Can a triangle be formed with side lengths: 4, 7, 10?

Back

Yes, a triangle can be formed with these side lengths because they satisfy the triangle inequality theorem.

Tags

CCSS.7.G.A.2

Front

Where is the largest angle of a triangle located?

Back

The largest angle of a triangle is located across from the longest side.

Tags

CCSS.HSG.CO.C.10

Front

Can a triangle be formed with side lengths: 10, 12, 22?

Back

No, a triangle cannot be formed with these side lengths because they do not satisfy the triangle inequality theorem.

Tags

CCSS.7.G.A.2

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 one angle of a triangle is 90 degrees, what type of triangle is it?

Back

It is a right triangle.

Tags

CCSS.4.G.A.2

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

Front

What is an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are of equal length and all three angles are equal, each measuring 60 degrees.

Tags

CCSS.4.G.A.2

Front

What is an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length and the angles opposite those sides are equal.

Tags

CCSS.4.G.A.2