+0  
 
0
41
2
avatar+103 

In trianlge ABC, AB = 3, AC = 5, and BC = 7. Find the circumradius of triangle ABC.

 Dec 8, 2019
 #1
avatar+69 
0

 

Formula for circumradius is ("Multiply the three sides)"/4R = "The area of the triangle"

So using this formula we get 3* 5 * 7/ (4R) = 15sqrt3/4

 

So 105/(4R) = 15sqrt3/4

Dividing by 15 yields

7/(4R) = sqrt3/4

Multiplying by 4 yields

7/R = sqrt3

So R = 7sqrt3/3.

~~GF

 Dec 8, 2019
 #2
avatar+106519 
+1

 

 

Let a  =  3   b  =  5  and  c  =  7

 

 

The circumradius is ginen by

 

             abc

_________________________________________  =

√[ (a + b + c) ( a + b - c) (a + c - b ) ( b + c - a)]

 

 

                3 * 5 * 7

_____________________________________  =

       √ [ ( 15) (1) ( 5) ( 9) ] 

 

 

 105

______  = 

15√3

 

 

  7

 __   =

√3

 

 

7√3

____

   3

 

 

cool cool cool

 Dec 8, 2019

18 Online Users

avatar
avatar
avatar