A triangle has sides measuring 7 centimeters and 13 centimeters that form an angle measuring 44º. Which of these is CLOSEST to the length of the third side of the triangle?

7 is the median   7.875 is the mean

step-by-step explanation:

3,4,5,6,8,11,13,13

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0

the furthest the dog can be is 508 meters away from the house, and the closest he can be is 492 meters away from the house.