Answer:
The length of the hypotenuse is √113 units
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