use Heros formula
I have a problem...I am given a triangle, with different heights, , , and , green, blue, and red respectively.
With these, I am to find the area of the triangle, but I'm not sure how if I'm not given a base at all. Can anyone help, please? Thank you!
Let us say that the area of triangle is
and be the heights
and be the sides of the triangle respectively.
Then,
which gives
and hence, semi-perimeter,s
Now, substitute these in Heros formula
YES.
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After a waste of some scrap paper (and some time), the fog surrounding me evaporated. Someone has already solved this.
"USE GOOGLE" (almost first respone pointed to the instant answer)
Check here:
http://mathforum.org/library/drmath/view/61893.html
Synopsis:
I =
I1 =
I2 =
I3 =
AREA_of_TRIANGLE =
[reason for separation]
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