Area of Triangle: Find the Unknown Formula

[subhradeep mahata]

Homework Statement

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

Homework Equations

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]

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

 

[subhradeep mahata]

Please show me how to do it.

 

[Ray Vickson]

Please show me how to do it.

PF rules require YOU to make an attempt first, before asking for help.

 

[LCKurtz]

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?

 

[HAF]

Try using box method of area

 

[symbolipoint]

Homework Statement

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

Homework Equations

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.

 

[e-pie]

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

Capitalised are hints.

Thanks.

 

[YoungPhysicist]

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]

Start by defining area, I think that may lead to answer.