SOLUTION: the diagonal of a rectangle is 2cm longer than its length and 9cm greater than its width. Find the dimension.
Algebra ->
Rectangles
-> SOLUTION: the diagonal of a rectangle is 2cm longer than its length and 9cm greater than its width. Find the dimension.
Log On
Question 928127: the diagonal of a rectangle is 2cm longer than its length and 9cm greater than its width. Find the dimension. Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website! Applying Pythagorean Theorem .
(d-2)^2 + (d-9)^2 = d^2
d^2 -4d + 4 + d^2 - 18d + 81 = d^2
d^2 - 22d + 85 = 0
(d-17)(d-5) = 0
d = 5, 17
Dimensions are: 5cm by 17cm
.
