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प्रश्न
The area of a triangle with vertices A(3, 0), B(7, 0) and C(8, 4) is ______.
विकल्प
14
28
8
6
उत्तर
The area of a triangle with vertices A(3, 0), B(7, 0) and C(8, 4) is 8.
Explanation:
Vertices of the triangle are,
A(x1, y1) = (3, 0)
B(x2, y2) = (7, 0)
C(x3, y3) = (8, 4)
Area of triangle = `|1/2[x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)]|`
= `|1/2[3(0 - 4) + 7(4 - 0) + 8(0 - 0)]|`
= `|1/2[-12 + 28 + 0]|`
= `|1/2[16]|`
= 8
Therefore, the area of ΔABC is 8.
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