Sides and Angles of Triangles

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

What are the conditions for three lengths to form a triangle?

Back

For three lengths a, b, and c to form a triangle, they must satisfy the conditions: a + b > c, a + c > b, and b + c > a.

Front

If two sides of a triangle are 8 cm and 15 cm, what is the range of possible lengths for the third side?

Back

The range of possible lengths for the third side is 7 cm < x < 23 cm.

Front

What is the largest angle in a triangle?

Back

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

Front

How do you find the length of the third side of a triangle given two sides?

Back

Use the Triangle Inequality Theorem to determine the range of possible lengths for the third side.

Front

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

Back

In a triangle, the larger the angle, the longer the opposite side.

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.

Front

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

Back

It is a right triangle.

Front

What is an isosceles triangle?

Back

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

Front

What is an equilateral triangle?

Back

An equilateral triangle is a triangle where all three sides are of equal length and all angles are 60 degrees.