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Area of a triangle

  • #1

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.
 

Answers and Replies

  • #2
ehild
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Can you cut the triangle and arrange the pieces so they make a rectangle?
 
  • #3
Please show me how to do it.
 
  • #4
Ray Vickson
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Please show me how to do it.
PF rules require YOU to make an attempt first, before asking for help.
 
  • #5
LCKurtz
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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?
 
  • #6
HAF
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6
Try using box method of area
 
  • #7
symbolipoint
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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.
 
  • #8
129
17
You don't need to know anything else, just VECTOR and GEOMETRIC manipulation will suffice.

Capitalised are hints.

Thanks.
 
  • #9
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.:wink:
 
  • #10
epenguin
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Start by defining area, I think that may lead to answer.
 

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