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 9, 3, and 10 be the sides of a triangle?

Back

Yes, because 9 + 3 > 10, 9 + 10 > 3, and 3 + 10 > 9.

Front

What is the range of possible lengths for the third side of a triangle with sides 8 and 12?

Back

Front

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

Back

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

Front

What is the range of possible lengths for the third side of a triangle with sides 10 and 7?

Back

Front

What is the range of possible lengths for the third side of a triangle with sides 12 and 7?

Back

Front

If two sides of a triangle are 5 and 10, what is the range for the third side?

Back

Front

What must be true for three lengths to form a triangle?

Back

The sum of any two lengths must be greater than the third length.

Front

If one side of a triangle is 15 and another is 10, what is the maximum length of the third side?

Back

The maximum length is 24, since 15 + 10 > x.

Front

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

Back

It is an isosceles triangle.