## anonymous 4 years ago find the area of the right triangle bounded by the x-axis and y-axis, and the line 3x+5y-15=0.

1. ash2326

|dw:1328001161582:dw| consider the line AB whose equation 3x+5y=15 if y=0 x=5 B(5,0) if x=0 y=3 A(0,3) Area = 1/2* Base* height Area=1/2* OB*AO OB=5 units AO=3 units Area=1/2*5*3=7.5 square unit

2. anonymous

$3x+5y-15=0 \implies \frac x5 +\frac y3 = 1$ So, the x intercept and y intercept are 5 and 3 units respectively, which means the area is $$\frac{15}2$$ units