   Chapter 6.3, Problem 4E 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

Note: Exercises preceded by an asterisk are of a more challenging nature. G i v e n :                   V   i s   t h e   m i d p o i n t   o f     R S     i n     ⊙ O                                               m ∠ s = 15 ∘     a n d       O T = 6 F i n d :                     O R To determine

To find:

To find OR.

Explanation

Given that V is the midpoint of RS^ in O and ms=15 and OT=6.

Consider the following figure,

Given that V is the midpoint of RS^ in O and ms=15.

Then mS=mRV^2 and mR=mRV^2. Then RS because these angles have equal measures.

Therefore,

15°=mRV^2

mRV^=2×15°

mRV^=30°

Therefore, mROV=mRV^=30°

Also OV¯RS¯ then,

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