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Joined: 16 May 2014
Posts: 592
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GRE 1: Q165 V161
Area of a Triangle: Multiple Formula in GRE
[#permalink]
06 Feb 2016, 07:02
06 Feb 2016, 07:02
Expert Reply
Area of a Triangle:
There are numerous possible ways of deducing the area of a triangle depending on the amount of information provided in the question. In this post I will try to make an exhaustive list of formula or methods of deducing the area of a triangle.
Basic Formula
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tri1.PNG [ 13.62 KiB | Viewed 4262 times ]
This is the most commonly used formula and its pretty trivial.
Heron's Formula
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tri1.PNG [ 12.34 KiB | Viewed 4257 times ]
This is also known as the SSS formula which means that this formula can only be used if you have full information about all the sides of a triangle. This is also a trivial and well known method.
SAS method
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tri3.PNG [ 15.04 KiB | Viewed 4255 times ]
This method is an elegant method and it needs the information of length of two sides and the angles subtended between them.
AAS Method
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tri6.PNG [ 13.53 KiB | Viewed 4261 times ]
Co-Ordinate Geometry
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tri5.PNG [ 16.43 KiB | Viewed 4254 times ]
This formula is used when its a co-ordinate geometry question. NOTE: Points A, B, C will be collinear if area of triangle ABC = 0.
gmatclubot
Area of a Triangle: Multiple Formula in GRE [#permalink]
06 Feb 2016, 07:02
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