The hypotenuse of a right triangle is 1m less than twice the shortest side. If the third side is 1m

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19 Jun 2013 Triangle

The hypotenuse of a right triangle is 1m less than twice the shortest side. If the third side is 1m more than shortest side, find the sides of the triangle.

OPtion

1) 4m,5m,sqrt41m
2) 3m,4m,5m
3) 6m,7m,sqrt85m
4) 15m,20m,25m
5) 5m,8m,sqrt89m
6) 8m,12m,4*sqrt13
7) 5m,6m,8m
8) 11m,15m,17m
9) 15m,20m,24m
10)None of these

Solution

Let shortest side AB=x m, then hypotenuse=(2x-1)m and third side=(x+1)m.
In the given right triangle : (2x-1)^2=(x+1)^2+x^2
solve
x=0,x=3
The sides of the triangle are 3m,4m,5m... option 2

Correct Option: 2 Best Solution (0)