69.9k views
2 votes
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

User JeanT
by
7.6k points

2 Answers

4 votes

Answer:

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.

5 votes

Answer:

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

User Mikemeli
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.