A rectangular field is 30m by 40m. What distance is saved by walking diagonally across the field?
(Answer should be 20, use pythagorus theorem)
Share
A rectangular field is 30m by 40m. What distance is saved by walking diagonally across the field?
(Answer should be 20, use pythagorus theorem)
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
Given : ABCD is a rectangular field of Length = 40m, Breadth = 30m, ∠B=90
o
In the right angled triangle ABC,
By Pythagoras Theorem,
AC
2
=AB
2
+BC
2
=30
2
+40
2
=900+1600
=2500
∴AC=
2500
=50m
Distance from A to C through B is
=30+40=70m
Distance saved =70−50=20m.
Answer:
using pythagoras
let b = 30 and p = 40 where as h = h
h2 = b2 + p2
h2 = 30^2+40^2
h2 = 900+1600
h2 = 2500
h = _/2500
h = 50
distance saved = 30 +40 - 50
= 70 - 50 = 20