37. abc has vertices a(0, 0) , b(0, 4) , and c(3, 0) . write the equation for the line containing the altitude overline ar in standard form

3x - 4y = 0

Step-by-step explanation:

The triangle Δ ABC has vertices A(0,0), B(0,4) and C(3,0).

Therefore, the equation of the straight line BC in intercept form will be  

⇒ 4x + 3y = 12

⇒ .......... (1)

This is a equation in slope-intercept form and the slope is .

Now, the altitude AR is perpendicular to equation (1) and hence its slope will be .

{Since, the product of slope of two mutually perpendicular straight line is always - 1}

Therefore, the equation of the altitude AR which passes through A(0,0) will be  

⇒ 4y = 3x

⇒ 3x - 4y = 0 (Answer)

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