Question

The area of a triangle is 15 sq. Units if the vertices are (1,-3) and (4,p) and (-9,7) find the value of p

Answer 1

$15 = \frac{1}{2} (x1(y2 - y3) + x2(y3 - y1) \\ \: \: \: \: \: \: \: \: \: \: x3(y1 - y2))$
$30 = (p - 7 + 40 + 27 + 9p)$
$30 = (10p + 60)$
$30 - 60 = 10p$
$- 30 = 10p$
$p = - 3$
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Answer 2

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