Use determinants to find the area of the triangle with vertices at the given points.
P(0,0),Q(4,0),R(4,3)

A)A = 12
B)A = 4
C)A = 6
D)A = 3
E)none of these

Question

Use determinants to find the area of the triangle with vertices at the given points. ​
P(0,0),Q(4,0),R(4,3)
​
A)A = 12
B)A = 4
C)A = 6
D)A = 3
E)none of these

Quizplus · Accepted Answer

We can use the formula for the area of a triangle formed by three points (x1, y1), (x2, y2), and (x3, y3):

Area = 1/2 * |x1(y2-y3) + x2(y3-y1) + x3(y1-y2)|

Plugging in the given coordinates, we get:

Area = 1/2 * |0(0-3) + 4(3-0) + 4(0-0)| = 1/2 * |12| = 6

Therefore, the answer is C.

Use Determinants to Find the Area of the Triangle with Vertices