Question

Find the area of a triangle formed by the points A(5, 2), B(4, 7) and C (7, – 4).
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Answer 1

Answer:

Step-by-step explanation:

Answer 2

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$\: Area \:of \:the\: triangle\: \\ = \frac{1}{2} (x _{1}(y_{2} - y_{3}) + x_{2}(y_{3} -y _{1})x_{3}(y_{1} - y_{2}))$

$= \frac{1}{2} (5 \times( 7 - ( - 4)) + 4 \times ( - 4 - 2) + 7 \times (2 - 7))$

$= \frac{1}{2}( 5 \times 11 + 4 \times - 6 + 7 \times - 5)$

$= \frac{1}{2} (55 - 24 - 35)$

$= \frac{1}{2} \times - 4$

$= - 2$

AREA OF THE TRIANGLE = 2 UNITS [Area cannot be negative]

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