Question 1058407: Find the area of the triangle formed by the x- and y- axes and the line 12x + 10y = 30.
Answer by solve_for_x(190)   (Show Source):
You can put this solution on YOUR website! 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
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