Question

Find the perimeter of △ABC with vertices A(−4, 3), B(1, −5), and C(−4, −5). Round your answer to the nearest hundredth.

Answer 1

Let's use the distance formula:
`\sqrt{ (x_(1) - x_(2))^(2) + (y_(1) - y_(2))^(2)`

So it is:

AB :
`√((-5)^2 + 8^2) = 9.43`
BC:
`√(5^2 + 0^2 ) = 5`
CA:
`√(0^2 + 8^2) = 8`

So 9.43 + 5 + 8 =22.43