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billionaire999
Joined: 26 Mar 2021
Last visit: 12 May 2021
Posts: 39
Given Kudos: 24
Location: India
Schools: Rotman '24 Desautels Melbourne HEC Montreal Ivey '24 Rotman
29 Mar 2021, 02:46
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Herons formula
A method for calculating the area of a triangle when you know the lengths of all three sides.
Let a,b,c be the lengths of the sides of a triangle. The area is given by:
Area = \sqrt{p ( p − a ) ( p − b ) ( p − c ) }
where p is half the perimeter, or
(a + b + c )/2
I have come across a data sufficiency question, wherein the 3 sides of the triangle are know, and through some time consuming working we can find the height and hence the area of the triangle.
The solution suggested that through the above mentioned herons formula there is no need to work moe, but rather consider the area can be found just by having the dimensions of the 3 sides of the triangle.
Is the formula worthy of the Time?
Please suggest
A method for calculating the area of a triangle when you know the lengths of all three sides.
Let a,b,c be the lengths of the sides of a triangle. The area is given by:
Area = \sqrt{p ( p − a ) ( p − b ) ( p − c ) }
where p is half the perimeter, or
(a + b + c )/2
I have come across a data sufficiency question, wherein the 3 sides of the triangle are know, and through some time consuming working we can find the height and hence the area of the triangle.
The solution suggested that through the above mentioned herons formula there is no need to work moe, but rather consider the area can be found just by having the dimensions of the 3 sides of the triangle.
Is the formula worthy of the Time?
Please suggest
29 Mar 2021, 07:45
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I have not seen any official question, in which you have to apply this formula.
Remember :
1) If you know 3 sides of the triangle , you can find the area.
2) if you know 2 sides and area of the triangle, you cannot find the third side.
Remember :
1) If you know 3 sides of the triangle , you can find the area.
2) if you know 2 sides and area of the triangle, you cannot find the third side.
billionaire999
29 Mar 2021, 07:56
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Absorbing the "meaning" of the formula may be helpful at least.
