Find the area of the triangle formed by the axes of
coordinates and the straight line 2x + 3y = 6
Answers
Answer:
What is the area of the triangle formed by 2x+3y=6 and the coordinate axes?
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11 Questions and Answers

Girija Warrier, studied at Sufficiently Educated
Answered 2 years ago · Author has 3.4K answers and 5.9Manswer views
What is the area of the triangle formed by 2x+3y=6 and the coordinate axes?
This can be calculated either graphically or algebraically..
Since, the graphical representation of 2x+3y =6 is a straight line.
And the required triangle is formed by this line graph & coordinate axes, ie X axis & Y axis.
So, if we find out the coordinates of all vertices of triangle, we may calculate its area…
if we suppose the triangle is ABC, in which coordinates of right angled vertex B = (0,0)
Vertex C lies on X axis. & vertex A lies in Y axis…
So, on X axis y coordinate = 0 & on Y axis x coordinate = 0
In 2x + 3y = 6
If x = 0, y = 2
& if y= 0, x = 3
Since x = 3 & y = 2
Hence, area ( tri ABC), which is enclosed by both axes & the line graph of 2x > 3y = 6
= 1/2 * Base * height.
= 1/2 * 3 * 2
= 3 sq unit