Question

the area of the triangle formed by the line x/2+y/5=1 with both the axes is

Answer 1

SOLUTION

TO DETERMINE

The area of the triangle formed by below the line with both the axes

$\displaystyle\sf{ \frac{x}{2} + \frac{y}{5} = 1}$

EVALUATION

Here the given equation of the line is

$\displaystyle\sf{ \frac{x}{2} + \frac{y}{5} = 1}$

This is of intercept form

The line cuts X axis at A(2,0) and Y axis at B(0,5)

Thus the triangle formed is ABC

Now ABC is a right angled triangle

So the required area

$\displaystyle\sf{ = \frac{1}{2} \times 2 \times 5 \: \: \: \: sq.unit }$

$\displaystyle\sf{ = 5 \: \: sq.unit }$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. Draw the graph of the linear equation 3x + 4y = 6. At what points, the graph cuts X and Y-axis?

https://brainly.in/question/18185770

2. Find the point where the graph of 0.25x + 0.05y =1.00 intersects the y-axis:

https://brainly.in/question/26332017