Loading [MathJax]/jax/output/SVG/jax.js
 
  Questions   
Sort: 
 #1
avatar
0
Dec 6, 2018
 #2
avatar+26397 
+13

The lengths of the perpendiculars drawn to the sides of a regular hexagon from an interior point are 4, 5, 6, 8, 9, and 10 centimeters.
What is the number of centimeters in the length of a side of this hexagon?
Express your answer as a common fraction in simplest radical form.

 

With Aera A:

 

A=s2sin(60)26|sin(60)=32=s23226A=323s2

 

A=s42+s52+s62+s82+s92+s102=12(4+5+6+8+9+10)s=1242sA=21s

 

s= ?

323s2=21s323s=21s=21233s=143s=14333s=1433

 

The number of centimeters in the length of a side of this hexagon is 1433 cm

 

laugh

Dec 6, 2018
 #1
avatar+998 
+14
Dec 6, 2018

5 Online Users

avatar