Triangle Side Lengths and Angles

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

In a triangle, which side is opposite the largest angle?

Back

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

Front

If two angles of a triangle are known, how can you find the third angle?

Back

The third angle can be found by subtracting the sum of the known angles from 180°.

Front

What does it mean if two triangles are congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

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

Back

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

Front

What is the Hinge Theorem?

Back

The Hinge Theorem states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first triangle is larger than the included angle of the second triangle, then the third side of the first triangle is longer than the third side of the second triangle.

Front

How do you determine the range of possible lengths for the third side of a triangle?

Back

The range of possible lengths for the third side can be determined using the Triangle Inequality Theorem: the length must be greater than the difference of the other two sides and less than their sum.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.

Front

What is an isosceles triangle?

Back

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

Front

What is a scalene triangle?

Back

A scalene triangle is a triangle in which all three sides are of different lengths.