What is the area formula of an obtuse triangle?

An obtuse triangle is any triangle that is having an obtuse angle which is greater than 90 degrees.

Consider triangle ΔABC:

Its area equals to a difference between area of ΔABD and ΔACD.
The first one equals to

SABD=1/2⋅BD x h

the second one equals to
SACD = 1/2 x CD x h

Their difference equals to
SABC=1/2 x BD x h − 12x CD x h= 12 x (BD−CD) x h=12 x a x h

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