Question

What is the length of the diagonal from vertex J to vertex L in the quadrilateral below? A. 12 units

B. 2√73
C.73√2
D. √146

Answer 1

I think it will help you....

Answer 2

Given:

The coordinates of the vertex J is (-6,3) and the coordinates of the vertex L is (5,-2)

We need to determine the length of the diagonal from vertex J to vertex L.

Length of the diagonal:

The length of the diagonal can be determined using the formula,

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

Substituting the coordinates (-6,3) and (5,-2) in the above formula, we get;

`d=\sqrt{(5+6)^2+(-2-3)^2`

Simplifying, we get;

`d=\sqrt{(11)^2+(-5)^2`

`d=√(121+25)`

`d=√(146)`

Thus, the length of the diagonal from vertex J to vertex L is √146 units.

Hence, Option D is the correct answer.