Determine a positive value for y such that a triangle with vertices (-4,2), (6,4)and (0,y)has an area of 16 square units.
A)11
B)8
C)6
D)9
E)1

Question

Quizplus · Accepted Answer

We can use the formula for the area of a triangle as A = 1/2 * base * height. 
Let's use the point (0, y) as the height of the triangle. Then the base will be the distance between the points (-4,2) and (6,4), which is 10 units. 
So, we have:
16 = 1/2 * 10 * y 
y = 3.2 
Since we need to find a positive integer value for y, the closest option is 6 (choice C).

Determine a Positive Value for Y Such That a Triangle