The three points below are the vertices of a right triangle. what is the length of the hypotenuse ?

The length of the hypotenuse is  √113 units

Step-by-step explanation:

To find the length of the hypotenuse, we will simply use the distance formula

|d| = √  (x₂ - x₁)²   +   (y₂ -y₁)²

from the diagram, the points on the vertices of the hypotenuse are

(-4, -2)      and    (4,5)

x₁ =-4      y₁= -2         x₂  = 4        y₂ = 5

we can now proceed and insert the values into the formula

|d| = √  (x₂ - x₁)²   +   (y₂ -y₁)²

    = √  (4 + 4)²   +   (5 +2)²

   = √  (8)² + (7)²

  = √ 64+49

  = √113    units

Therefore, the length of the hypotenuse is  √113 units

c

Step-by-step explanation: