Triangle Inequality theorem

Front

The sum of the lengths of any two sides of a triangle is _____ than the third side.

Back

greater

Front

What are the possible lengths of the third side if the lengths of two sides are 6 and 15?

Back

Between 9 and 21

Front

If a triangle has the following lengths XZ= 18, XY=4, what is the length of YZ?

Back

21

Front

Do the sides 6, 9, 8 make a triangle?

Back

yes

Front

Find the largest side in Δ BCD: Segment BC, Segment DB, Segment DC, Segment AB.

Back

Segment DB

Front

What is the Triangle Inequality Theorem?

Back

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

If one side of a triangle is 10 and another is 14, what is the range of possible lengths for the third side?

Back

Between 4 and 24.

Front

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

Back

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

Front

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

Back

4 (7 - 10 = -3, so the minimum is 10 - 7 = 3, but must be positive, so 4).

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.