Triangle Inequality/Hinge Theorem Flashcard

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 a triangle be formed with side lengths 15 in., 12 in., and 2 in.?

Back

No, because 15 + 2 is not greater than 12.

Tags

CCSS.7.G.A.2

Front

What is the range of possible lengths for the third side of a triangle with sides 7 mm and 4 mm?

Back

3 < x < 11.

Front

How do you identify the shortest side in a triangle?

Back

The shortest side is opposite the smallest angle.

Front

What is a midsegment in a triangle?

Back

A midsegment is a line segment that connects the midpoints of two sides of a triangle.

Front

If QR is a midsegment of triangle FGH, what is the relationship between QR and FG?

Back

QR is parallel to FG and its length is half the length of FG.

Tags

CCSS.HSG.SRT.B.4

Front

What is the smallest angle in a triangle related to?

Back

The smallest angle is always opposite the shortest side.

Tags

CCSS.HSG.CO.C.10

Front

If two sides of a triangle are 8 cm and 5 cm, what is the maximum length of the third side?

Back

The maximum length of the third side is less than 13 cm (8 + 5).

Front

If two sides of a triangle are 10 m and 6 m, what is the minimum length of the third side?

Back

The minimum length of the third side is greater than 4 m (10 - 6).

Front

What does it mean if a triangle is degenerate?

Back

A degenerate triangle has its three points collinear, meaning the sum of the lengths of two sides equals the length of the third side.