Triangle Inequality Theorem

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

Can the lengths 6, 10, and 8 be the sides of a triangle?

Back

Yes, because 6 + 8 > 10, 6 + 10 > 8, and 10 + 8 > 6.

Front

What is the range of possible lengths for the third side of a triangle with sides 9 and 6?

Back

Front

What is the range of possible lengths for the third side of a triangle with sides 9 and 7?

Back

Front

What type of triangle has two equal sides and one angle greater than 90 degrees?

Back

Obtuse Isosceles Triangle.

Front

What type of triangle has all sides of equal length?

Back

Equilateral Triangle.

Front

What type of triangle has one angle equal to 90 degrees?

Back

Right Triangle.

Front

Can the lengths 10, 18, and 12 be the sides of a triangle?

Back

Yes, because 10 + 12 > 18.

Front

If two sides of a triangle are 5 and 7, what is the maximum length of the third side?

Back

The maximum length is 11, because 5 + 7 > x.

Front

If two sides of a triangle are 5 and 7, what is the minimum length of the third side?

Back

The minimum length is 3, because x > 7 - 5.