Question

ABCD is a rectangle. If AC =3y/5 and BD = 3(y – 4), find the length of each diagonal.

a.−3, −3
b.5, 5
c. 3,3
d 16,16

Answer 1

In any rectangle, the diagonals are congruent

Answer 2

so

AC = BD

3y/5 = 3(y-4)

3y = 5*3(y-4)

3y = 15(y-4)

3y = 15y - 60

Keep going to solve for y

Answer 3

once you have the value of y, use it to find AC or BD