Question 1058407
The x- and y- axes and the line 12x + 10y = 30 form a right triangle with the 90 degree angle at the origin.


To determine the base and height of the triangle, find the x- and y-intercepts of the given line.


To find the x-intercept, set y = 0 and solve for x:


12x + 10(0) = 30


12x = 30


x = 30/12


x = 2.5


To find the y-intercept, set x = 0 and solve for y:


12(0) + 10y = 30


10y = 30


y = 3


The base of triangle is 2.5, and the height is 3.


The area is then:


Area = (1/2)(base)(height) = (1/2)(2.5)(3) = 3.75