A line has slope 2. Find the area of the triangle formed by this line and the coordinate axes, if the distance between the origin and the line is \(8\)
+15000 Find the area of the triangle.
Hello Guest!
\(Touch\ Point\ P:\\ x_P=8\cdot cos(atan -\frac{1}{2})=7.155\\ y_P=8\cdot sin(atan -\frac{1}{2})=-3.578\\ f(x) =2\cdot (x-x_P)+y_P\\ f(x)=2x-2\cdot 7.155-3.578\\ f(x)=2x-17.888=0\\ P_x\ (8.944,0)\\ P_y(0,-17.888)\)
The area of this triangle is
\(A_{xy}=\frac{1}{2}\cdot 8.944\cdot (-17.888)\)
\(A_{xy}=-79.995\)
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