How do you find the area of a triangle whose vertices are (1,4) (-4,-5) and (2,3)?

1 Answer
Alan P.
Oct 20, 2015

#Area(triangle ABC) = 7#

Explanation:

Geometric Solution
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#triangle ABC= triangle ABD + square BCED - triangle ACE#

#color(white)("XXXXX")= ((5xx9)/2) + ((8+9)/2xx1)- ((6xx8)/2)#

#color(white)("XXXXX")=22 1/2 + 8 1/2 - 24#

#color(white)("XXXXX")=7#

Alternative Method
Calculate the length of each side of #triangle ABC# using Pythagorean Theorem.

Use Heron's Formula (#sqrt(s(s-a)(s-b)(s-c))# ) to calculate the area.

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