A farmer is tilling his rectangular field. The length of the field is 48 meters and distance between opposite corners is 73 meters. How wide is the farmer's field?
Mathematics · High School · Thu Feb 04 2021
Answered on
Given that:- length of field=48 meter
distance between opposite corners(diagonal length)=73 meters
width=?
let ABCD is a rectangular field where AB is length of field that is 48 meters and BC is width of field=? and AC is diagonal of field = 73 meters
ABC become a right angle triangle so now we can apply Pythagoras theorem that is Hypotenuse^2=Perpendicular^2+Base^2
We have a Δ ABC in which AC^2 = AB^2 + BC^2
73^2=48^2+BC^2
5329=2304+BC^2
BC^2=5329-2304
BC^2=3025
BC=root 3025
BC=width=55 meter(answer)