Question

find the area of the triangle formed by the line x/a + y/b = 1 with the coordinate axes​

Answer 1

Answer:

Answer:

• 1/2ab

Given:

The line is,

$\frac{x}{a} + \frac{y}{b} = 1$

If this line is passing through the x-axis,

Then, y=0

$\frac{x}{a} = 1 \\ x = a$

The point is (a,0)

Now,

If this line pass through the y-axis,

Then,x=0

$\frac{y}{b} = 1 \\ y = b$

The point is (0,b)

Now plot this points on the graph.

Area of the triangle=1/2×base×height

∆=1/2×ab

So, Area of the triangle=1/2ab