Geometry A 3.6 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

If a triangle has sides of lengths 3, 4, and 5, does it satisfy the Triangle Inequality Theorem?

Back

Yes, because 3 + 4 > 5, 3 + 5 > 4, and 4 + 5 > 3.

Front

Can a triangle have sides measuring 2, 3, and 6?

Back

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

Front

What type of triangle is formed by sides measuring 6 ft, 8 ft, and 10 ft?

Back

It is a right triangle.

Front

What is the measure of x if the sides of a triangle are x, 5, and 7?

Back

x must be less than 12 and greater than 2.

Front

What is the maximum length of the third side of a triangle with sides measuring 8 and 10?

Back

The maximum length is 17 (8 + 10 - 1).

Front

What is the minimum length of the third side of a triangle with sides measuring 5 and 7?

Back

The minimum length is 3 (7 - 5 + 1).

Front

If a triangle has sides measuring 6m, 10m, and 14m, is it a right triangle?

Back

No, it is not a right triangle.

Front

What is the measure of x if the sides of a triangle are 12, 15, and x?

Back

x must be less than 27 and greater than 3.

Front

What is an isosceles triangle?

Back

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