   Chapter 6.4, Problem 14E 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

Construct the two tangent segments to circle R (not shown) from external point X .

To determine

To construct:

Two tangent segments to a circle from an external point.

Explanation

The line that is perpendicular to the radius of a circle at its endpoint on the circle is a tangent to the circle. In the given figure, QT is a tangent to O at point T.

Given:

The circle R and an external point X.

Construction Strategy:

i) Draw a circle P with radius r.

ii) Take an external point E and draw EP¯ .

iii) Construct the perpendicular bisector of line EP¯. Start by placing the compass at E and adjusting the compass to any length <EP¯. Draw two arcs above and below the line from points E and P. Let the midpoint be M.

iv) With M as center and MP¯ (or ME¯) as the radius, construct a circle. Place ruler where the circles intersect, and draw the line segments T and V from point E. ET¯ or EV¯ is the desired tangent

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

Evaluate the integral, if it exists. sin(lnx)xdx

Single Variable Calculus: Early Transcendentals, Volume I

Evaluate the integrals in Problems 1-32. Identify the formula used.

Mathematical Applications for the Management, Life, and Social Sciences

find the real roots of each equation by factoring. 134. 12a2+a12=0

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

The appropriate option for the value of the indefinite integral ∫sinx2 dx.

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