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

If two sides of a triangle measure 8 and 15, what is the range of possible lengths for the third side?

Back

The length of the third side must be greater than 7 and less than 23.

Front

Which of the following sets of lengths can form a triangle: (2 cm, 6 cm, 7 cm) or (5 cm, 2 cm, 5 cm) or (8 cm, 3 cm, 10 cm, 15 cm)?

Back

(2 cm, 6 cm, 7 cm) and (5 cm, 2 cm, 5 cm) can form triangles. (8 cm, 3 cm, 10 cm, 15 cm) cannot.

Tags

CCSS.7.G.A.2

Front

If the longest side of a triangle is 10, what must be true about the sum of the other two sides?

Back

The sum of the other two sides must be greater than 10.

Front

Identify the smallest angle in a triangle given the sides: 5 cm, 5 cm, 8 cm.

Back

The smallest angle is opposite the shortest side, which is 5 cm.

Tags

CCSS.HSG.CO.C.10

Front

Identify the longest side in a triangle with sides 7 cm, 10 cm, and 12 cm.

Back

The longest side is 12 cm.

Front

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

Back

In a triangle, the largest angle is opposite the longest side, and the smallest angle is opposite the shortest side.

Tags

CCSS.HSG.CO.C.10

Front

Can a triangle have sides measuring 3 cm, 10 cm, and 15 cm?

Back

No, because 3 + 10 is not greater than 15.

Tags

CCSS.7.G.A.2

Front

What is the minimum length of the third side if the other two sides are 4 cm and 5 cm?

Back

The minimum length of the third side must be greater than 1 cm.

Front

If a triangle has sides of lengths 6 cm, 8 cm, and x cm, what is the range of x?

Back

x must be between 2 cm and 14 cm.