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anu1706
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Proof of formula for Base,Altitude,Leg of an Isosceles Tr. 13 Oct 2013, 04:14
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Guys,

Please some one explain how the base, leg , altitude formula arrived for isosceles triangle which is given in GMAT Club math book.

Anuj



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Proof of formula for Base,Altitude,Leg of an Isosceles Tr. 23 Oct 2013, 11:12
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anu1706
Guys,

Please some one explain how the base, leg , altitude formula arrived for isosceles triangle which is given in GMAT Club math book.

Anuj
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These can be easily proved with the help of Pythagaourus theorem.

Consider the triangle ABC in which BC is base and A is vertex.Consider AB and AC are equal side.
So when ever you draw a altitude from vertex A to Base BC it will meet it at D, and D will be the midpoint of BC.

So you find Altitude by :: AB^2=Alti^2+(BC/2)^2
AB=\sqrt{Alti^2+(BC/2)^2}
Alti = \sqrt{AB^2 - (BC/2)^2}
(BC/2)^2=AB^2-Alti^2

BC=2\sqrt{(AB^2-Alti^2)}

So it proves how the results are obtained.




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