Question

A triangle has vertices (-2, 1), (3, 1), and (1, 4). What is the area of the triangle?

Show your answer

Answer 1

15/2 or 7.5

Explanation:

We know that the area of the triangle whose vertices are

(x1, y1), (x2, y2), and (x3, y3) is

1/2 |x1(y2 − y3) + x2(y3 − y1) + x3(y1 – y2)|

Area Of Triangle

1/2 |(-2)(1 - 4) + 3(4 - 1) + 1(1 - 1)|

1/2 (6 + 9 + 0)

1/2 (15) = 15/2