The points A(4, 6), B(-2, 2) and C(10, 0) are the vertices of the triangle ABC shown below. (c) Find the area of the triangle ABC.
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We can choose any side as the base, but let's choose AB. The length of AB can be found using the distance formula: AB = sqrt((x2 - x1)^2 + (y2 - y1)^2) AB = sqrt((-2 - 4)^2 + (2 - 6)^2) AB = sqrt((-6)^2 + (-4)^2) AB = sqrt(36 + 16) AB = sqrt(52) Show more…
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