Question

the area of the triangle whose vertices are (1, 1) , (- 2, 7) and (3, - 3) is​

Answer 1

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Answer 2

QUESTION:

the area of the triangle whose vertices are (1, 1) , (- 2, 7) and (3, - 3) is.

ANSWER:

We used the formula here :

$area \: of \: trianlge = \frac{1}{2} \times x1(y2 - y1) + x2(y3 - y1) + x3(y1 - y2)$

NOW COME TO YOUR QUESTION;

let;

$(1.1)(x1.y1)$

$( - 2.7)(x2.y2)$

$(3. - 3)(x3.y3)$

substituting the values in the formula;

$\frac{1}{2} (1(7 + 3) + ( - 2)( - 3 - 1) + 3(1 - 7) \\ \frac{1}{2} \times 10 - 2 \times ( - 4) + 3 \times ( - 6) \\ \frac{1}{2} \times 10 + 8 - 18 \\ 10 + 8 - 9 \\ 9 {units}^{2}$

FINAL ANSWER;

$\huge\red{9 {units}^{2} }$