The area of triangle ABC (in sq. units) is :

15

sq. units

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10

sq. units

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7.5

sq. units

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2.5

sq. units

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Solution

The correct option is A $7.5$ sq. units
The area of a triangle is given as:
Area $= \frac{1}{2} [x_{1} (y_{2} - y_{3}) + x_{2} (y_{3} - y_{1}) + x_{3} (y_{1} - y_{2})]$
the given points are $A (1, 3), B (- 1, 0)$ and $C (4, 0)$
by Substituting ,
$Area = \frac{1}{2} [1 (0 - 0) + (- 1) (0 - 3) + 4 (3 - 0)] = \frac{1}{2} [3 + 12] = \frac{15}{2} = 7.5$
$∴$ Area of the given triangle ABC is $7.5$ sq. units

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The area of triangle ABC (in sq. units) is :

The correct option is A 7.5 sq. unitsThe area of a triangle is given as:Area =12[x1(y2−y3)+x2(y3−y1)+x3(y1−y2)]the given points are A(1,3), B(−1,0)and C(4,0)by Substituting ,Area=12[1(0−0)+(−1)(0−3)+4(3−0)]=12[3+12]=152=7.5 ∴ Area of the given triangle ABC is 7.5 sq. units