# Area of a triangle

## Homework Statement

Find the area of a triangle, assume that you don't know the formula of area of any other figure.

## The Attempt at a Solution

Well, i was trying to figure out how to find the area of a triangle out of nowhere, but could not get it. I want to know how it was formulated for the very first time. Please help me out (remember that you cannot use any other area formula) . You can use basic calculus, but not very advanced one.

ehild
Homework Helper
Can you cut the triangle and arrange the pieces so they make a rectangle?

Please show me how to do it.

Ray Vickson
Homework Helper
Dearly Missed
Please show me how to do it.
PF rules require YOU to make an attempt first, before asking for help.

LCKurtz
Homework Helper
Gold Member

## Homework Statement

Find the area of a triangle, assume that you don't know the formula of area of any other figure.
Not even the area of a rectangle?

Try using box method of area

symbolipoint
Homework Helper
Gold Member

## Homework Statement

Find the area of a triangle, assume that you don't know the formula of area of any other figure.

## The Attempt at a Solution

Well, i was trying to figure out how to find the area of a triangle out of nowhere, but could not get it. I want to know how it was formulated for the very first time. Please help me out (remember that you cannot use any other area formula) . You can use basic calculus, but not very advanced one.
Wrong requirement. USE knowledge of area of a rectangle! This will let you form a diagram like a construction to develop formula for area of a triangle.

You don't need to know anything else, just VECTOR and GEOMETRIC manipulation will suffice.

Capitalised are hints.

Thanks.

Find the area of a triangle, assume that you don't know the formula of area of any other figure.
Well, you can know the fromula of a triangle since it isn't any other figure.

epenguin
Homework Helper
Gold Member