Find the area of a triangle ABC with vertices

A(2, 3), B(4, 7) and C(7, 3)
A. 20 1
2
𝑢𝑛𝑖𝑡𝑠2.
B. √10 𝑢𝑛𝑖𝑡𝑠2
C. 10 1
2
𝑢𝑛𝑖𝑡𝑠2
D. 10 𝑢𝑛𝑖𝑡𝑠2

1 answer

We can use the formula for the area of a triangle given its vertices:

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

Substituting the coordinates of our triangle, we get:

Area = 1/2 |(2(7-3) + 4(3-3) + 7(3-7))|

Simplifying, we get:

Area = 1/2 |(-4)|

Area = 2

Therefore, the answer is A. 20/2 = 10 square units.