SOLUTION: THE LONGEST SIDE OF A RIGHT TRIANGLE IS 4 INCHES MORE THAN THE SHORTEST SIDE. THE THIRD SIDE IS 2 INCHES MORE THAN THE SHORTER SIDE. Find the length of each side of the right trian

Algebra ->  Triangles -> SOLUTION: THE LONGEST SIDE OF A RIGHT TRIANGLE IS 4 INCHES MORE THAN THE SHORTEST SIDE. THE THIRD SIDE IS 2 INCHES MORE THAN THE SHORTER SIDE. Find the length of each side of the right trian      Log On


   

Question 1165491: THE LONGEST SIDE OF A RIGHT TRIANGLE IS 4 INCHES MORE THAN THE SHORTEST SIDE. THE THIRD SIDE IS 2 INCHES MORE THAN THE SHORTER SIDE. Find the length of each side of the right triangle.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, shortest side
x+4, longest side
x+2, the other side

%28x%2B4%29%5E2=x%5E2%2B%28x%2B2%29%5E2
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Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.

Re-formulate it in  THIS  equivalent form 

    The hypotenuse of the right triangle is 4 inches longer than the shortest leg.
    The longer leg is 2 inches longer than the the shortest leg.


Then,  if you ever heard about classic  (3,4,5)-right angled triangle,  then the answer will come to your mind
immediately:  the triangle under the problem's question is  6  inches,  8  inches,  10  inches triangle.


Solved, answered and explained.