• 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:
• 2
2 Solutions

Commented:
This is a classic and non-trivial puzzle that requires a diagram, the answer is

&#8730;(25 + 12&#8730;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

Commented:
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

Commented:
sorry answer is

sqrt( 25 + 12sqrt(3))  =  6.7664
0

Author Commented:
Thank you both for your help.
0

## Featured Post

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