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Bond [772]
3 years ago
9

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 st

andard form
Mathematics
1 answer:
Nutka1998 [239]3 years ago
4 0

Answer:

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  

\frac{x}{3} + \frac{y}{4} = 1

⇒ 4x + 3y = 12

⇒ y = - \frac{4}{3}x + 4 .......... (1)

This is a equation in slope-intercept form and the slope is - \frac{4}{3}.

Now, the altitude AR is perpendicular to equation (1) and hence its slope will be \frac{3}{4}.

{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  

y = \frac{3}{4}x

⇒ 4y = 3x

⇒ 3x - 4y = 0 (Answer)

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