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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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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 . _

Chapter 6.CT, Problem 11CT, aIf HP=4, PJ=5, and PM=2, find LP. _ bIf HP=x+1, PJ=x1, LP=8, and PM=3, find x. _

To determine

a)

To find:

LP from,

Elementary Geometry for College Students, Chapter 6.CT, Problem 11CT .

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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