   Chapter 8.2, Problem 47E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Prove that the area of a trapezoid whose altitude has length h and whose median has length m is A = h m .

To determine

To Prove:

Area of a trapezoid whose altitude has length h and whose median has length m is A=hm.

Explanation

Proof:

Let’s consider a trapezoid ABCD with bases AD=b1 and BC=b2 and altitudes AE and DF measures h units.

Let’s draw the median GH in the trapezoid.

Median of a trapezoid is a segment that joins the midpoints (G and H are the mid points of the line segments AB and CD) of the non-parallel sides.

The median of any trapezoid has two properties:

i. It is parallel to both bases.

ii. Its length equals half the sum of the base lengths.

That is, Median m=12(b1+b2),…(1)

where b1 and b2 are the bases of the trapezoid ABCD

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Show that |sinxcosx|2 for all x

Calculus (MindTap Course List)

Test for divisibility by 2: 458

Elementary Technical Mathematics

Expand each expression in Exercises 122. x(4x+6)

Finite Mathematics and Applied Calculus (MindTap Course List)

For , f(x) = 0 2 3 f(3) does not exist

Study Guide for Stewart's Multivariable Calculus, 8th

In how many ways can five people line up at a checkout counter in a supermarket?

Finite Mathematics for the Managerial, Life, and Social Sciences

What is a ceiling effect, and how can it be a problem?

Research Methods for the Behavioral Sciences (MindTap Course List) 