18 units²
step-by-step explanation:
first let's find altitude bd using the distance formula
d = √((y₂ - y₁)² + (x₂ - x₁)²)
bd = √((0 - -3)² + (0 - 3)²)
bd = √18
given the placement of points a and c, we can denote that point d bisects segment ac.
we will call ac the base.
using the distance formula
ac = √((0 - 6)² + (-6 - 0)²)
ac = √72
knowing our base and our height, we can plug these into our triangle area formula
area = (b * h)/2
area = (√18 * √72) / 2
area = (√1296) / 2
area = 36 / 2
area = 18 units²
