Question

Given triangle ABC with vertices A(16,0), B(9,2) and C(5,-12). Which side of triangle ABC represents the altitude of the triangle with a slope of -2/7?

Side AB
side BC
side AC

Answer 1

Side BC

Explanation:

Let's calculate the slopes of the sides of triangle ABC:

Slope of side AB = (2 - 0) / (9 - 16) = 2 / (-7) = -2/7

Slope of side BC = (0 - 2) / (2 - 9) = -2 / (-7) = 2/7

Slope of side CA = (0 - 0) / (2 - 16) = 0 / (-14) = 0

Among the three sides, only side BC has a slope of 2/7, which is the negative reciprocal of the given slope of -2/7.

Therefore, side BC represents the altitude of triangle ABC with a slope of -2/7.

Answer 2

so now i think you can find the slope of the sides.the product of slopes of two perpendicular lines is - so now you can also find the slopes of the altitude. i will do one side for you and you do the remaining the slope of side BC is (2-0)/(9-0) = 2/9 so the slope of the altitude passing through A will be -9/2

Explanation:

so i think it would be side AC