Geometry SOL Review G.5 Triangles Sides and Angles

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 sides of lengths 20, 10, and 9, does a triangle exist?

Back

No, because 20 is not less than the sum of 10 and 9.

Front

What is the range of possible lengths for the third side of a triangle with sides 10 and 5?

Back

5 < x < 15.

Front

If two sides of a triangle are 12 miles and 7 miles, what is the range for the third side?

Back

5 < x < 19.

Front

In triangle UWV, if WV = 13, VU = 9, and UW = 15, which angle is the smallest?

Back

Angle W is the smallest.

Front

How do you determine the smallest angle in a triangle?

Back

The smallest angle is opposite the shortest side.

Front

What is the relationship between the sides and angles of a triangle?

Back

In a triangle, the larger the side, the larger the opposite angle.

Front

What is the sum of the angles in any triangle?

Back

The sum of the angles in any triangle is always 180 degrees.

Front

If a triangle has angles measuring 30 degrees and 60 degrees, what is the measure of the third angle?

Back

The third angle measures 90 degrees.

Front

What is an acute triangle?

Back

An acute triangle is a triangle where all three angles are less than 90 degrees.