Angle-Side Relationship & Triangle Inequality

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

Back

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

Front

If one side of a triangle is longer than the sum of the other two sides, what can be said about the triangle?

Back

It cannot form a triangle.

Front

What is the smallest side in a triangle with sides 5, 7, and 10?

Back

5 is the smallest side.

Front

What is the largest angle in a triangle with sides 8, 6, and 10?

Back

The largest angle is opposite the longest side, which is 10.

Front

How do you determine the order of angles in a triangle?

Back

Order the angles from largest to smallest based on the lengths of the opposite sides.

Front

Can a triangle have sides of lengths 2, 3, and 6?

Back

No, because 2 + 3 is not greater than 6.

Front

What is the relationship between the sides of a triangle with angles 30°, 60°, and 90°?

Back

The side opposite the 90° angle is the longest, and the sides are in the ratio 1:√3:2.

Front

What is the sum of the angles in any triangle?

Back

The sum of the angles in any triangle is always 180°.

Front

If two sides of a triangle are equal, what type of triangle is it?

Back

It is an isosceles triangle.