   Chapter 6.CT, Problem 11CT 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

a) If H P = 4 , P J = 5 , and P M = 2 , find L P .b) If H P = x + 1 , P J = x − 1 , L P = 8   , and   P M = 3 ​ , find x . To determine

a)

To find:

LP from, .

Explanation

Given:

HJ and LM are two chord lines intersect inside the circle.

HP=4, PJ=5, and PM=2.

Theorem used:

“If two chords intersect within a circle then the product of the lengths of the segments (parts) of one chord is equal to the product of the lengths of the segments of the other chord”.

Calculation:

Consider the two intersected chords HJ and LM.

From the theorem it is clear that,

HPPJ=PMLP(

To determine

b)

To find:

x in HP=x+1, PJ=x1, LP=8, and PM=3.

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