Calculate the area of triangle abc with altitude bd, given a (-6,0), b (0,0), c (0,6), and d (-3,3)

  18 units²

step-by-step explanation:

the triangle is a right triangle with legs of length 6, so the area is

  a = 1/2bh = 1/2(6 units)(6 units) = 18 units²

you can compute the same area using base ac=6√2 and altitude bd=3√2. then the math looks like

  a = 1/2(6√2 units)(3√2 units) = 18 units²

comment on the solutions

imo, this latter method is way too much work, especially if you have to use the distance formula to compute the lengths of ac and bd. (knowing the leg length ratios of an isosceles right triangle can save many hours of work in the long term. they are 1 : 1 : √2.)

step-by-step explanation:

b) 36

step-by-step explanation:

18 times 2 is 36