Calculate the area of triangle abc with altitude bd, given a (−6, 0), b (0, 0), c (0, 6), and d (−3, 3). 18 square units 9 square units 18.5 square units 21 square units

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

step-by-step explanation:

answer: -2+√x,-2-√x

i hope this , i don't know if you're looking for a pair or not.