SOLUTION: Please help me! I am so confused on this, I have tried it several times but its just not clicking tonight.. The question is. The area of a right triangle is 260 in^2 Find th

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Question 867099: Please help me! I am so confused on this, I have tried it several times but its just not clicking tonight.. The question is.

The area of a right triangle is 260 in^2
Find the length of its legs if one leg is 6 inches longer than the other. (Use the five step method and show ALL work for full credit.)


If you could please explain this when helping me with this problem so I can solve the other problems similar to this one on my own. Thank you!
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
Right triangle will have two legs. One is a base and the other is a height.

Let b = base
Let y = height.

Formula for area of a triangle is .
Problem description is translated into symbols as ... you need to choose which length is the base and which is the height.

I will use "one leg" as b.
One leg is 6+y.
This means .

Put this all into the equation for the given area.


Now you should be no longer confused. Solve for y and then use the found value to get the value for b.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Please help me! I am so confused on this, I have tried it several times but its just not clicking tonight.. The question is.

The area of a right triangle is 260 in^2
Find the length of its legs if one leg is 6 inches longer than the other. (Use the five step method and show ALL work for full credit.)


If you could please explain this when helping me with this problem so I can solve the other problems similar to this one on my own. Thank you!


Let longer leg be L

Then shorter leg = L - 6

Therefore, 



 ------- Cross-multiplying



Solve for L, the longer leg, and then the shorter leg, or L - 6

You then do a check!! 



If you need a complete and detailed solution, let me know!!



Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.

Further help is available, online or in-person, for a fee, obviously.  

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