Somebody help!! i believe the points are (1,-2) and (-5,5)

also i solved this and got 3.6 as my answer and don’t know if that’s correct. so please help

See the picture below for a way to construct a right triangle that makes that piece the longest side of the triangle your line segment.

With that setup, you can use they Pythagorean Theorem.

And then solve that for c, keeping in mind c must be positive.

If you want to use the distance formula, that is just the Pythagorean theorem solved for c:

Applying that to your situation

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

i honestly dont know