Topic 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

If two sides of a triangle are 7 and 12 inches, what is the range of the possible length of the third side?

Back

5 < x < 19

Front

What is an altitude in a triangle?

Back

An altitude of a triangle is a perpendicular segment from a vertex to the line containing the opposite side.

Front

Which side is the shortest in Triangle ABC if AB = 5, BC = 7, and AC = 6?

Back

AB is the shortest side.

Front

What cannot be the length of the remaining side if two sides of a triangle measure 17 inches and 9 inches?

Back

26 cannot be the length of the remaining side.

Front

What is the definition of a median in a triangle?

Back

A median is a line segment joining a vertex to the midpoint of the opposite side.

Front

If the lengths of two sides of a triangle are 8 and 15, what is the maximum possible length of the third side?

Back

The maximum possible length of the third side is 22.

Front

What is the relationship between the sides of a triangle?

Back

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

Front

What is the formula for finding the area of a triangle?

Back

Area = 1/2 * base * height.

Front

If a triangle has sides measuring 5, 12, and 13, is it a right triangle?

Back

Yes, it is a right triangle (5^2 + 12^2 = 13^2).