Question

Diagonal brace. The width of a rectangular gate is 2 meters
(m) larger than its height. The diagonal brace measures

sqrt6m. Find the width and height.

Answer 1

solve for x

x^2 + (x+2)^2 = 6

2x^ + 4x + 4 = 6
x^2 + 2x - 1 = 0

I get x = appr. .4142

check
.4142^2 + 2.4142^2 = 5.999992 , not bad