Question

HELP! Вычислите площадь треугольника ABC если : A (-2;4) B (-2;-5) C (10;4) *указание. ДОПОЛНИТЕ ТРЕУГОЛЬНИК ДО ПРЯМОУГОЛЬНИКА. (ХЗ что это..)

Answer 1

S=ah/2
S=9*12/2=54
Чтобы дополнить до прямоугольника нужно найти четвертую точку-D
D (10;-5)

Answer 2

Calculating the Area of Triangle ABC

To calculate the area of triangle ABC, we can use the formula for the area of a triangle given its coordinates. The formula is:

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

Where (x1, y1), (x2, y2), and (x3, y3) are the coordinates of points A, B, and C respectively.

In this case, the coordinates of points A, B, and C are: A (-2, 4) B (-2, -5) C (10, 4)

Substituting these values into the formula, we get:

Area = 0.5 * |((-2 * (-5 - 4)) + (-2 * (4 - (-5))) + (10 * (4 - (-5))))|

Simplifying the expression inside the absolute value, we have:

Area = 0.5 * |((-2 * (-9)) + (-2 * (9)) + (10 * 9))|

Calculating the expression inside the absolute value, we get:

Area = 0.5 * |(18 + (-18) + 90)|

Simplifying further, we have:

Area = 0.5 * |(90)|

Finally, calculating the absolute value, we get:

Area = 0.5 * 90 = 45 square units

Therefore, the area of triangle ABC is 45 square units.