Question

Найдите площадь треугольника ABC с вершинами A(4;1) B(1;-4) C(7;1) решите и 10 баллов у вас в кармане

Answer 1

................................................7,5

Answer 2

Calculating the Area of Triangle ABC

To find the area of triangle ABC with vertices A(4,1), B(1,-4), and C(7,1), we can use the formula for the area of a triangle given its vertices. The formula is:

Area = 0.5 * |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|

Now, let's substitute the coordinates of the vertices into the formula to calculate the area.

Area = 0.5 * |(4)(-4 - 1) + (1)(1 - 1) + (7)(1 - (-4))|

Area = 0.5 * |(4)(-5) + (1)(0) + (7)(5)|

Area = 0.5 * |-20 + 0 + 35|

Area = 0.5 * 15

Area = 7.5 square units

So, the area of triangle ABC with vertices A(4,1), B(1,-4), and C(7,1) is 7.5 square units.

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