Kite (a quadrilateral with two pairs of adjacent equal sides) has coordinates and What is the area of given that the area of a kite is equal to half the product of its diagonals?

https://latex.artofproblemsolving.com/1/7/c/17ca2cc2c0ee36081e414b0712467d1f8f8add62.png

Guest Apr 12, 2020

#1**+1 **

You can use the distance formula to find the lengths of the diagonals:

Distance = sqrt[ (x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} ]

To find the distance AC: Distance = sqrt[ (12 - 0)^{2}+ (-2 - 12)^{2} ]

To find the distance BD: Distance = sqrt[ (7 - 1)^{2} + (8 - 0)^{2} ]

Then use the area of a kite (that you gave with your question).

Can you take it from here?

geno3141 Apr 12, 2020