Find the number of straight lines passing through (2 , 4) and forming a triangle of area 16 cm² with the two coordinate axis !

You have to draw the figure by yourself ~

Thanks for your help •••

Step-by-step explanation:

Since two sides lie on the x- or y-axis, let the side lengths are x and y.

The area is:

We need to find x and y such that:

The third side passes through the point (2, 4), which adds limitations:

The slope of the line is:

It is same as slope of the line with the point (2, 4):

Solve the equation:

Substitute this into area equation:

Then:

So the vertices are: