Question

Help please! The quadrilateral ABCD, where A is (4,5) and C is (3,-2), is a square. Find the coordinates of B and D and the area of the square.

Answer 1

treat B as (x,y)

Answer 2

then use distance formula for AB and BC

Answer 3

You can solve the 2 eqns to get B

Answer 4

The 2 equations of AB and BC?

Answer 5

yep when you apply distance formula and equate them

Answer 6

because sides of a square have equal length

Answer 7

So the first thing I have to do is find the distance between AB which will be
\[\sqrt{(x-4)^{2}+ (y-5)^{2}}\]

Answer 8

wait a second ..i jst realized this may not work because terms will cancel on both sides

Answer 9

aaah okay.

Answer 10

did you try graphing ?