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​Find the height, h, of the diagram if each circle has a radius of 12 cm.

 Feb 27, 2020
 #1
avatar+1486 
+1

​Find the height, h, of the diagram if each circle has a radius of 12 cm.

 

h ≈ 65.569 cm wink

 Feb 27, 2020
 #2
avatar+128460 
+2

We  can construct  two  equilateral  triangles  with sides of 24 cm   by  joining  the centers of  the circles

 

The  height  of  one  of  these triangles  =  (1//2) side length * sqrt (3)  = 12sqrt (3)

 

So....the height of the the  figure = 

 

Height  of two equilateral triangles  + diameter  of a circle  = 

 

2 * 12sqrt (3)  +  24   =

 

24  ( 1 +sqrt (3))  ≈   65.57   cm

 

 

cool cool cool

 Feb 28, 2020
 #3
avatar+50 
0

thank you!!

 Feb 28, 2020

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