Triangle Inequalities & Algebra

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Front

Order the sides of a triangle from greatest to least if the lengths are 5 m, 7 m, and 10 m.

Back

10 m, 7 m, 5 m.

Front

Can a triangle have sides with lengths 8 m, 10 m, and 19 m?

Back

No, because 8 + 10 is not greater than 19.

Front

What is the range of possible lengths for the third side of a triangle with sides 17 m and 12 m?

Back

5 m < x < 29 m.

Front

In triangle ∆ABC, if ∠A is 30° and ∠B is 60°, which side is the longest?

Back

Side opposite to ∠B (the largest angle) is the longest.

Front

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

Back

It is an isosceles triangle.

Front

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

Back

The larger the angle, the longer the side opposite to it.

Front

Can a triangle have sides with lengths 4 m, 5 m, and 9 m?

Back

No, because 4 + 5 is not greater than 9.

Front

If the lengths of two sides of a triangle are 6 m and 8 m, what is the maximum length of the third side?

Back

The maximum length is less than 14 m (6 + 8).

Front

What is the minimum length of the third side if the other two sides are 6 m and 8 m?

Back

The minimum length is greater than 2 m (8 - 6).