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Chapter 5: Q6 (page 192)

For the following figure, find the length of the median of each trapezoid.

Short Answer

Expert verified

The length of the median of the trapezoid is 11 units.

Step by step solution

01

Step 1. Check the figure.

Consider the figure.

02

Step 2. Apply the concept of the length of the median.

The length of the median is the average of the sides of the trapezoid.

03

Step 3. Step description.

Since the length of the median is the average of the sides of the trapezoid thus calculate the length as follows:

median=11−x+11+x2=222=11

Thus, the length of the median of the trapezoid is 11 units.

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Most popular questions from this chapter

Study the markings on each figure and decide whether ABCD must be a parallelogram. If the answer is yes, state the definition or theorem that applies.

Write a paragraph proof: The sum of the lengths of the segments drawn from any point in the base of an isosceles triangle perpendicular to the legs is equal to the length of the altitude drawn to one leg.

The quadrilaterals numbered 1, 2, 3, 4, and 5 are parallelograms. If you wanted to show that quadrilateral 6 is also a parallelogram, which of the five methods listed on page 172 would be easiest to use?

What values must x and y have to make the quadrilateral a parallelogram?

Quadrilateral ABCD is a parallelogram. Name the principal theorem or definition that justifies the statement.

DX=BX
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