Question

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

A.5 Units
B.35 units
C.37 units
D.85 units

Answer 1

`√(85)`

Step-by-step 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=√((x_2-x_1)^2+(y_2-y_1)^2)`

`BD=√((-2-4)^2+(-4-3)^2)`⇒
`BD =√((-6)^2+(-7)^2)`

`BD =√(36+49)` ⇒
`BD =√(85)`

Therefore the answer is
`√(85)`