Question

What's the perimeter of (-9,8) (-9,16) and (-17,8)

Answer 1

16 + sqrt(128)

Explanation:

find the lengths of all 3 sides:

the side from (-9,8) to (-9,16) will be 16-8=8 (x stays constant)

The side from (-9,8) to (-17,8) is 8 (-9- (-17)=8)

The side from (-9,16) to (-17,8) will be found from the distance formula

d=sqrt((-17-9)^2 + (8-16)^2))

= sqrt(128)

So the perimeter will be these 3 numbers added together

P=sqrt(128) + 8 + 8

= 16 + sqrt(128)

which can simplify to:

= 16 + 4sqrt(8)

= 16 + 8sqrt(2) = 8+ sqrt(2)