5.4 - 5.5 REVIEW

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

Given two sides of a triangle measuring 45 feet and 29 feet, what is the range of possible lengths for the third side?

Back

16 < x < 74

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 a triangle has sides of lengths 10, 8, and 6, can these lengths form a triangle?

Back

Yes, they satisfy the Triangle Inequality Theorem.

Front

What is the formula to find the length of a midsegment?

Back

The length of a midsegment is equal to half the length of the third side.

Front

If the midsegment of a triangle is 8, what is the length of the side it is parallel to?

Back

16 (since the midsegment is half the length of the side it is parallel to).

Front

What is the value of x if 2x + 3 = -5?

Back

x = -4.

Front

What is the range of possible lengths for the third side of a triangle with sides 10 and 15?

Back

5 < x < 25.

Front

What does it mean for a triangle to be scalene?

Back

A scalene triangle has all sides of different lengths.

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.