Find the equation of the median of the triangle, formed by the line 8x+5y = 40 with the coordinate axes. Given that the median is passing through the origin.
(1) 5x - 8y = 0
(2) 5x + 8y = 0
(3) 8x - 5y = 0
(4) 8x + 5y = 0
Answers
Answered by
1
Step-by-step explanation:
How do I calculate the area of a triangle formed by the x-axis, the y-axis and the line 3x-y-6=0?
Buy Samsung smartphones on Flipkart.
The x and y axes automatically become the height and base of the triangle. The diagonal line 3x - y - 6 = 0 will determine what lengths they have.
To do this, we need to put it in y = mx + b format:
3x−y−6=0
3x−y=6
−y=6−3x
y=3x−6
It crosses the y -axis at:
y=3x−6
y=3(0)−6
y=0−6
x = 2
(0, -6)
It crosses the x-axis at:
y=3x−6
0=3x−6
6=3x
x = 2
(2, 0)
So we have a triangle with a base of 2 units and a height of | - 6| = 6 units. We can now find the area:
A=12bh
A=12(2)(6)
A=6 square units
Similar questions