5.4 - 5.5 REVIEW

Front

What is the length of the midsegment \( \overline{RQ} \) in a triangle with side lengths 8, 16, and 32?

Back

The length of the midsegment \( \overline{RQ} \) is 8.

Front

Find the value of x in the equation: 2x + 3 = -5.

Back

x = -4.

Front

Two sides of a triangle have lengths of 12 meters and 17 meters. What is the range of possible lengths for the third side?

Back

5 < x < 29.

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

Can the sides of a triangle have lengths 10, 8, and 6?

Back

Yes, they satisfy the triangle inequality theorem.

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 one side of a triangle is 10 and another is 15, what is the maximum length of the third side?

Back

The maximum length of the third side is 24 (10 + 15 - 1).

Front

What is the minimum length of the third side if two sides are 10 and 15?

Back

The minimum length of the third side is 5 (15 - 10 + 1).

Front

What does it mean for a triangle to be scalene?

Back

A scalene triangle has all sides of different lengths.

Front

What does it mean for a triangle to be isosceles?

Back

An isosceles triangle has at least two sides of equal length.