Answer:Find out the magnitude of each line segment
A=(-4, 1)
B= (-7, 5)
C=(0, 1)
Plot out the triangle to find out what the general shape of the triangle looks like since we need height.
A-B= √(-4+7)²+(1-5)²
=5
B-C=√(-7)²+(5-1)²
= √53
C-A=√(4)²+(1-1)²
=4
Find midpoint of B-C because line segment between A and B-C would be the height (according to the rough sketch previously drawn)
B-C= (x, y)= (x₁+x₂/2), (y₁-y₂/2)
(x, y)= (-7+0/2), (5+1/2)
(x, y)= -3.5, 3
Magnitude of A-BC:
√(-3.5+4)²(3-1)²
=√(0.5)²+4
Area=1/2(bh)
a=1/2(√53)(√(0.5)²+4 )
a= 7.5
Hope I helped you understand how you can derive the answer yourself :)
Explanation: