Question #e9576

1 Answer
Jan 11, 2018

color(red)"x = 51.72 meters"

color(blue)"y = 108.28 meters"

Explanation:

Data

"x + y = 160 meters"

Sides form a triangle 📐 , so

x^2 + y^2 = (120)^2

Combining equations:

x^2 + (160 - x^2) = (120)^2

Re-arranging:

x^2 - 160x^2 + 5600 = 0

Solving quadratic equation:

x = 160 +-sqrt((160^2- 4(5600)))/2

x = (160 +-56.57)/2