SOLUTION: A lot is in the shape of a right triangle. The longer leg measures 1 meter more than the shorter leg. The hypotenuse measures 2 meters more than the shorter leg. Find the dimension

Hi,

Let x represent the shorter leg, then we have:

a right triangle with x & (x+1m) as legs and (x+2m)as the hypotenuse

using the Pythagorean Theorem to solve



Simplifying







factoring

(x-3)(x+1)=0

x = -1 cannot use this value 

x = 3

Triangular lot has the dimensions 3m , 4m and 5m

check our answer using Pythagoream theorem

9 + 16 = 25