Question

Will someone please help me understand this?

Answer 1

Option A:

The length of diagonal JL is $3 \sqrt{5} \text { units }$.

Solution:

In the quadrilateral, the coordinates of J is (1, 6) and L is (7, 3).

So that, $x_1=1, y_1=6, x_2=7, y_2=3$

To find the length of the diagonal JL.

Using distance formula:

$d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

$d=\sqrt{(3-6)^2+(7-1)^2}$

$d=\sqrt{(-3)^2+(6)^2}$

$d=\sqrt{9+36}$

$d=\sqrt{45}$

$d=\sqrt{3^2\times 5}$

$d=3\sqrt{ 5}$ units

The length of diagonal JL is $3 \sqrt{5} \text { units }$.

Option A is the correct answer.

Answer 2

Answer:

the answer is A

Step-by-step explanation: