Answer:
area of the right triangle = 13/2
Explanation:
the given vertices are:
x1, y1 = 3, 1
x2, y2 = 5, 4
x3, y3 = 6, -1
area of a right triangle given the three vertices is:
area = 1/2 | x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2) |
= 1/2 | 3(4 + 1) + 5(-1 - 1) + 6(1 - 4) |
= 1/2 | 3(5) + 5(-2) + 6(-3) |
= 1/2 | 15 - 10 - 18 |
= 1/2 |5 - 18 |
= 1/2 |-13|
= 13/2