Question

The area of the triangle formed by the points (5,2),(-9,-3),(-3,-5)

Answer 1

Answer:

your answer attached in the photo

Answer 2

$area \: of \: triangle \: = \frac{1}{2} ( {x}_{1}( {y}_{2} - {y}_{3} ) + {x}_{2}( {y}_{ 3} - {y}_{1}) + {x}_{3}( {y}_{1} - {y}_{2})$

here,

• x1 = 5, x2 = -9, x3 = -3
• y1 = 2, y2 = -3, y3 = -5

substituting values in the formula,

area

= 1/2(5(-3-(-5) + (-9)(-5-2) + (-3)(2-(-3)

= 1/2(5(-3+5) -9(-5-2) -3(2+3)

= 1/2(5(2) -9(-7) -3(5)

= 1/2(10 + 63 - 15)

= 1/2(58)

= 29

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Area of traingle = 29 sq. units