SOLUTION: Diagnal brace. The width of a retangular gate is 2 meters (m) larger than its heiht. The diagonal brace measures (Square root) 6 m. Find the width and height.

Question 146958: Diagnal brace. The width of a retangular gate is 2 meters (m) larger than its heiht. The diagonal brace measures (Square root) 6 m. Find the width and height.
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
We have a right triangle of height h, width h+2, and hypotenuse sqrt(6).
a^2+b^2=c^2
h^2+(h+2)^2=sqrt(6)^2
h^2+h^2+4h+4=6
2h^2+4h-2=0
2(h^2+2h-1)=0
h^2+2h =1
h^2+2h+1=1+1 completing the square.
(h+1)^2=2
h+1=+-sqrt(2) Square root of each side.
h= -1+sqrt(2) m
w= 1+sqrt(2) m
.
Ed
RELATED QUESTIONS
The width of a rectangular gate is 2 meters(m) larger than its height. The diagonal brace (answered by josmiceli)

Diagonal brace. The width of a rectangular gate is 2 meters (m) larger than its height.... (answered by nyc_function)

Diagonal brace. The width of a rectangular gate is 2 meters (m) larger than its height.... (answered by jojo14344)

Diagonal brace. The width of a rectangular gate is 2 meters (m) larger than its height.... (answered by nerdybill)

the width of a rectagular gate is 2 meters larger than its height. The diagonal brace... (answered by vleith)

The width of a rectangular gate is 2 meters larger than its height. The diagonal brace... (answered by nerdybill)

Diagonal brace. The width of a rectangular gate is 2 meters (m) larger than its height.... (answered by dabanfield)

The width of a rectangular gate is 2 meters (m) larger than its height. The diagonal... (answered by Theo)

The width of a rectangular gate is 2 meters (m) larger than its height. The diagonal... (answered by stanbon)