Final Exam

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 10 and 7, what is the range of possible measures for the third side?

Back

Front

How do you order the sides of a triangle from least to greatest?

Back

To order the sides from least to greatest, compare the lengths of each side and arrange them accordingly.

Front

In a 30-60-90 triangle, if the shorter leg is 8, what are the lengths of the other sides?

Back

Front

What is the formula for finding the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

Back

The midpoint M is given by the formula M = ( (x1 + x2)/2 , (y1 + y2)/2 ).

Front

What is the length of the hypotenuse in a 30-60-90 triangle if the shorter leg is 8?

Back

Front

What is the value of x in the equation 2x + 3 = 11?

Back

The value of x is 4.

Front

How do you find the length of a side in a right triangle using the Pythagorean theorem?

Back

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.

Front

If one angle of a triangle is 90 degrees and another is 65 degrees, what is the measure of the third angle?

Back

The measure of the third angle is 25 degrees.