SOLUTION: Hey there, thanks its veery urgent question haveing trouble could u please answer with a diagram if possible!! the question is :FInd the area of triangle whose vertices are A(4,-2

Algebra ->  Surface-area -> SOLUTION: Hey there, thanks its veery urgent question haveing trouble could u please answer with a diagram if possible!! the question is :FInd the area of triangle whose vertices are A(4,-2      Log On


   

Question 203869: Hey there, thanks its veery urgent question haveing trouble could u please answer with a diagram if possible!!
the question is :FInd the area of triangle whose vertices are A(4,-2)B(-6,4)C (8,-2)
thanks soo much appriciate it!!
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


To begin with, let us see the triangle,
---> Obtuse Triangle

We know finding Area for Triangle, A=%281%2F2%29bh, Working Eqn.

In the given Obtuse Triangle, the perpendicular Height lies outside.


To find height, we take distance between points "B" & "D"
by taking their coordinates.

Applying Distance Formula = h=sqrt%28%28x%5B2%5D-x%5B1%5D%29%5E2%2B%28y%5B2%5D-y%5B1%5D%29%5E2%29%29
h=sqrt%28%28-6-%28-6%29%29%5E2%2B%28-2-4%29%5E2%29
h=sqrt%28%28-6%2B6%29%5E2%2B%28-6%29%5E2%29=sqrt%280%2B36%29=sqrt%2836%29
red%28h=6units%29

Finding for the base, we use the same Distance Formula between points "A" & "C",
b=sqrt%28%288-4%29%5E2%2B%28-2-%28-2%29%29%5E2%29
b=sqrt%284%5E2%2B0%5E2%29=sqrt%2816%29
red%28b=4units%29

Therefore, going back to our Working Eqn,
A=%281%2F2%29bh=%281%2F2%29%284%29%286%29=24%2F2
red%28A=12square_units%29, Answer

Thank you,
Jojo