• Status: Solved
  • Priority: Medium
  • Security: Public
  • Views: 975
  • Last Modified:

Point inside a triangle.

Point P is inside equilateral triangle ABC such that AP = 3, BP
= 4 and CP = 5. What is the length of a side of the triangle?

How might I find this out?

0
StormyWaters
Asked:
StormyWaters
  • 2
2 Solutions
 
GwynforWebCommented:
This is a classic and non-trivial puzzle that requires a diagram, the answer is

√(25 + 12√3)


Here are a couple of links.

http://mathcentral.uregina.ca/QQ/database/QQ.09.96/Pisco1.html
http://www.kalva.demon.co.uk/sweden/sol/sol772.html
0
 
aburrCommented:
First draw a diagram of the problem roughly to scale. Lable all parts which you can. All the sides of the triangle are the same, call that length x. Remember that the angles of the triangel are 60 degrees. Note that you have three internal triangles and that there are relationships betwen their angle. If these hints are not enough write back with the place you are stuck
0
 
GwynforWebCommented:
sorry answer is

sqrt( 25 + 12sqrt(3))  =  6.7664
0
 
StormyWatersAuthor Commented:
Thank you both for your help.
0

Featured Post

VIDEO: THE CONCERTO CLOUD FOR HEALTHCARE

Modern healthcare requires a modern cloud. View this brief video to understand how the Concerto Cloud for Healthcare can help your organization.

  • 2
Tackle projects and never again get stuck behind a technical roadblock.
Join Now