Use desco.position and rearranging to model the area formula of triangle C what is the area of triangle c
The formula for the area \(A\) of a triangle with base \(b\) and height \(h\) is given by:
\[ A = \frac{1}{2} \times b \times h \]
To model the area of triangle C using desmos.position and rearranging, we can set \(b\) as the base of the triangle and \(h\) as the height. Let the base of triangle C be represented by the distance between points \(P_1\) and \(P_2\) (let's say the x-coordinate of \(P_1\) is \(x_1\) and the x-coordinate of \(P_2\) is \(x_2\)), and let the height be the y-coordinate of point \(P_3\).
Thus, the base of triangle C, \(b\), can be represented as:
\[ b = |x_1 - x_2| \]
And the height of triangle C, \(h\), can be represented as:
\[ h = y \]
where \(y\) is the y-coordinate of point \(P_3\).
Therefore, the area of triangle C can be calculated as:
\[ A = \frac{1}{2} \times |x_1 - x_2| \times y \]
Now, if you have specific coordinates for points \(P_1\), \(P_2\), and \(P_3\), you can substitute those values into the formula above to calculate the area of triangle C.