Question

right triangle abc is on the coordinate plane segment ab is on the line y = 2 and is 6 units long. point c is on the line x = -3 what is the y value of c if the area of triangle abc is 9 units squared

Answer 1

-1 or 5

Explanation:

The area of a triangle is given by the formula ...

A = (1/2)bh

where b is the base length and h is the height.

Filling in the given information, we have ...

9 units² = (1/2)(6 units)h

(9 units²)/(3 units) = h = 3 units

The location of point c could be 3 units above y=2, at y=5, or it could be 3 units below y=2, at y=-1.

c could have a y-value of -1 or +5.

_____

The attached figure shows a couple of possibilities for the triangle.