Maths / Coordinate Geometry / Area of Triangle Using Coordinate

QUESTION

Find the area of triangle whose vertices are A(-8, -2), B (-4, -6), and C (-1, 5 )

EXPLANATION
Explain TypeExplanation Content
Text

using the formula , area of triangle

$\dpi{120} \large =\frac{1}{2}\left | x_1(y_2-y_3)+(y_3-y_1)+x_3(y_1-y_2)\right |$

The area of the triangle formed by the vertices A(-8,-2), B(-4,-6) and C(-1, 5) is given by

$\dpi{120} \large \frac {1}{2}\left [ -8(-6-5)-4(5+2)-1(-2+6) \right ]$

$\dpi{120} \large =\frac {1}{2}\left [ -8(-11)-4(7)-1(4) \right ]$

$\dpi{120} \large =\frac {1}{2}\left [88-28-4 \right ] = \frac{56}{2}= 28\: sq \: units$

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