Turn on thread page Beta
 You are Here: Home >< Maths

# Geometry question - urgent -maths olympiad tomorrow watch

1. Hey,

I am residing in an Asian country and have my olympiad test tomorrow. I am stuck at this question and I think I will get a similar question in the test.

Would be really grateful for any urgent help!!!

Many thanx in advance.

Question:

2. Let ABC be an equilateral triangle and P be a point inside this triangle such that PA= x , PB=y,
PC=z. If z 2 = x2 + y2 , find the length of the sides of triangle ABC in terms of x and y.
2. anyone?
3. and yes x2 means x-squared or x to the power 2
4. ??/
5. ???
6. Surely this is just a Pythagoras question? How far have you got?
8. (Original post by microfatcat)
Surely this is just a Pythagoras question? How far have you got?
Thank you for responding. Initially it looks like simple p-theorem question but it isnt... I have used the cosine rule to express the lenghts of the sides but have those angles in the expression...has to be only x and y
9. Look here on question 1. Does that help you?
10. [QUOTE=microfatcat]Look here on question 1. Does that help you?[/

done that already!! (have been googling for three hours now :P), but thanx for the help anyway..any other ideas?
11. Okay, after trying it myself, I can't come up with anything better than an expressing using the cosine rule Sorry! Gah, I wish I was better at maths. Good luck anyway! Maybe get in early and ask a teacher how to do it?
12. Thanx for the help anyway.
14. (Original post by abcdefghijklmnopqrstuvwxyz)
yes they do, this question was actually very tricky
15. .....

Turn on thread page Beta

### Related university courses

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: January 17, 2010
The home of Results and Clearing

### 3,509

people online now

### 1,567,000

students helped last year
Today on TSR

### IT'S TODAY!

A-level results chat here

### University open days

1. Bournemouth University
Clearing Open Day Undergraduate
Fri, 17 Aug '18
2. University of Bolton
Fri, 17 Aug '18
3. Bishop Grosseteste University
Fri, 17 Aug '18
Poll
Useful resources

## Make your revision easier

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams

Can you help? Study help unanswered threads

## Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE