Question 976215: A lot is in the shape of a right triangle. The shorter leg measures 150 m. The hypotenuse is 50 m longer than the length of the longer leg. How long is the longer leg?
Answer by Loon Bajracharya(1)   (Show Source):
You can put this solution on YOUR website! Let the shorter leg be the perpendicular and the longer leg be base.
by using Pythagorean theoream,we have
h^2=p^2+b^2
now,if the hypotenious is 50m longer than longer i.e base. then h=p+50m
therefore,
(p+50m)^2=p^2+150^2
now fore the hypotenious side solve using the formula (a+b)^2
p^2+2×p×50+50^2=p^2+22500
or,100p=p^2-p^2+22500-2500
or,p=20000/100
therefore, p=longer leg=200m
SOLVED.....
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