Two nonadjacent vertices of a rectangle are (-1,-2) and (5,3). Find the length of the diagonal of the rectangle.

√61

Step-by-step explanation:

The length of the diagonal is the distance between these points.

Distance formula: √(x₂ - x₁)² + (y₂ - y₁)²

= √(5 - (-1))² + (3 - (-2))² = √6² + 5² = √61

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value