Triangle Inequality Practice

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 x, what is the range of possible values for x?

Back

x must be greater than 1 and less than 7 (1 < x < 7).

Front

Can a triangle have sides of lengths 5, 10, and 15?

Back

No, because 5 + 10 is not greater than 15.

Tags

CCSS.7.G.A.2

Front

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

Back

The largest angle is opposite the longest side, and the smallest angle is opposite the shortest side.

Tags

CCSS.HSG.CO.C.10

Front

If two sides of a triangle are 7 and 10, what is the maximum length of the third side?

Back

The maximum length of the third side is 16 (7 + 10 - 1).

Front

What is the minimum length of the third side if the other two sides are 7 and 10?

Back

The minimum length of the third side is 4 (10 - 7 + 1).

Front

In triangle ABC, if ∠A is the smallest angle, which side is the shortest?

Back

Side BC is the shortest side.

Tags

CCSS.HSG.CO.C.10

Front

If a triangle has sides of lengths 8, 15, and 17, is it a right triangle?

Back

Yes, because 8² + 15² = 17².

Tags

CCSS.8.G.B.8

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Tags

CCSS.8.G.A.5

Front

If the sides of a triangle are in the ratio 3:4:5, what type of triangle is it?

Back

It is a right triangle.

Tags

CCSS.HSG.CO.C.10