Question

The area of the triangle formed by the line 2x 5y = 10 and the co-ordinate axes is

Answer 1

The result of your answer is
coordinate (10,5)

Answer 2

Answer:

The area of triangle is 5 sq. units.

Step-by-step explanation:

The given equation is

$2x+5y=10$

Put x=0, to find the y-intercept.

$2(0)+5y=10$

$5y=10$

$y=2$

The y-intercept is 2. It means the height of the triangle is 2 units.

Put y=0, to find the x-intercept.

$2x+5(0)=10$

$2x=10$

$x=5$

The x-intercept is 5. It means the base of the triangle is 5 units.

Area of a triangle is

$A=\frac{1}{2}\times base \times heigth$

$A=\frac{1}{2}\times 5 \times 2=5$

Therefore the area of triangle is 5 sq. units.