Triangle Inequalities Acc.

Front

What is an equilateral triangle?

Back

A triangle with all three sides of equal length.

Front

What is the Triangle Inequality Theorem?

Back

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

A right triangle.

Front

What is the sum of the interior angles of a triangle?

Back

180 degrees.

Front

Can a triangle have two obtuse angles?

Back

No, a triangle cannot have two obtuse angles.

Front

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

Back

The largest angle is opposite the longest side.

Front

If the sides of a triangle are 3, 4, and 5, does it form a triangle?

Back

Yes, it satisfies the Triangle Inequality Theorem.

Front

Which of the following sets of lengths can form a triangle: {2, 3, 6}, {5, 5, 5}, {1, 1, 2}?

Back

Only {5, 5, 5} can form a triangle.

Front

What is the value of the missing angle if two angles are 50 degrees and 60 degrees?

Back

The missing angle is 70 degrees.

Front

What is the value of x if the angles in a triangle are x, 45 degrees, and 55 degrees?

Back

x = 80 degrees.