You are Here: Home >< Maths

# Number of Parallelograms in a Triangle Watch

1. There is this very lengthy problem which asks for number of figures, specifically parallelograms, in a triangle.

How in the world can I find the answer using an easier way? Are there any formulas/equations, etc?
2. (Original post by alifleih)
There is this very lengthy problem which asks for number of figures, specifically parallelograms, in a triangle.

How in the world can I find the answer using an easier way? Are there any formulas/equations, etc?
No

You just have to count them

Count the small ones then the larger ones - use symmetry if you do not want to count them all
3. (Original post by Laurasaur)
Well, I think the number of triangles you could fit inside a triangle are infinite, therefore I couldn't really give a formula/equation for it
4. (Original post by TenOfThem)
I meant in the context of the question asked that has the answer as 15.
5. (Original post by alifleih)
There is this very lengthy problem which asks for number of figures, specifically parallelograms, in a triangle.

How in the world can I find the answer using an easier way? Are there any formulas/equations, etc?
Firstly, note that your parallelogram has sides parallel to two of the sides of the triangle. Then, choose two sides of the triangle (Base and left is nice and simple) and count the parallelograms with sides parallel to these. Then, you can use the fact that the triangle has symmetry to multiply the number of parallelograms you count here by 3 to get your final answer.
6. (Original post by alifleih)
I meant in the context of the question asked that has the answer as 15.
I know

I answered you in the context of this question

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: July 10, 2014
Today on TSR

### Degrees to get rich!

... and the ones that won't

### Women equal with Men?

Discussions on TSR

• Latest
• ## See more of what you like on The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

• Poll
Useful resources

### 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

## Groups associated with this forum:

View associated groups
Discussions on TSR

• Latest
• ## See more of what you like on The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

• 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

Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.