Question

Find the area of the triangle.

Triangle PQR with altitude RS is shown. Point P is at negative 2, 1. Point Q is at 6, 1. Point R is at 4, negative 3. Point S is at 4, 1.

Answer 1

16 units

Explanation:

Answer 2

16 Unit

Explanation:

With P(-2,1) , Q(6,1) , R(4,-3) , S(4,1) , the triangle and its altitude look like the one attached in figure.

The length of base PQ is the difference in the x-coordinates of P and Q,

6-(-2)=6+2=8 , because the y-coordinates are both the same as 1.

The height (the length of altitude RS is the difference in the y-coordinates of R and S,

1-(-3)=1+3=4 , because the y-coordinates are both the same as 4 .

The area is

`(base*height)/(2)=(8*4)/(2)=16`.