   Chapter 4.3, Problem 20E 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

Given: Rhombus RSTV (not shown) with diagonals R T ¯  and  S V ¯ so that RT = 8 and SV = 6 Find: RS, the length of a side

To determine

To find:

RS, the length of a side.

Explanation

The basic properties of rhombus:

1) All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite angles are congruent, and consecutive angles are supplementary).

2) All sides are congruent by definition.

3) The diagonals bisect the angles.

4) The diagonals are perpendicular bisectors of each other.

Calculation:

Given: Rhombus RSTV with diagonals RT¯ and SV¯.

RT = 8 and SV = 6

Consider the rhombus.

To find RS:

From the property, in rhombus, diagonals are perpendicular bisectors.

In rhombus RSTV

RA=AT=RT2=82=4

V

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

Find the derivative of the function. F(t) = (3t 1)4(2t + 1)3

Single Variable Calculus: Early Transcendentals, Volume I

Evaluate the integrals in Problems 5-28. Check your answers by differentiating. 16.

Mathematical Applications for the Management, Life, and Social Sciences

Evaluate the integral. 9. 23dx(x21)3/2

Single Variable Calculus: Early Transcendentals

Elimination of the parameter in x = 2t3/2, y = t2/3 gives: x4 = 16y9 16x4 = y4 x3 = 8y4 8x3 = y4

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 