Question

Find the length of the diagonal BD in the quadrilateral ABCD shown in the coordinate plane

Answer 1

Answer:

$\sqrt{85}$  

Explanation:

Given:

B is at (4,3) and D is at (-2,-4).

Solution:

$B(4^{x1} ,3^{y1} )$                    $D ( -2^{x2} ,-4^{y2} )$               $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$BD=\sqrt{(-2-4)^2+(-4-3)^2}$⇒ $BD =\sqrt{(-6)^2+(-7)^2}$

$BD =\sqrt{36+49}$     ⇒$BD =\sqrt{85}$

Therefore the answer is $\sqrt{85}$