SOLUTION: Will someone show me the steps to solve this problems so that I will be able to work othere like this or similar to it. The shorter leg of a right triangle is 11 meters. The hyp

Question 76799: Will someone show me the steps to solve this problems so that I will be able to work othere like this or similar to it.
The shorter leg of a right triangle is 11 meters. The hypotenuse is 1 meter longer than the longer leg. Find the length of the longer leg.
Thank you,
Sabrina
Found 2 solutions by Earlsdon, funmath:
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Since the problem is about a right triangle, think about using the Pythagorean theorem: Where: c is the length of the hypotenuse and a & b are the lengths of the two legs.
In this problem, you are given the length of one of the legs (11 m.) and you are told that the length of the hypotenuse is 1 meter longer than the other (longer) leg.
So, we'll let x meters be the length of the longer leg.
Then the length of the hypotenuse will be x+1 meters.
Now let's apply the Pythagorean theorem.
Simplify this.
Subtract from both sides of the equation.
Now subtract 1 from both sides.
Finally, divide both sides by 2.

The length of the longer leg is 60 meters.
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
Hi Sabrina,
The Pythagorean Theorem says that the hypotenuse squared is equal to the sum of the squares of the legs.

The shorter leg of a right triangle is 11 meters. The hypotenuse is 1 meter longer than the longer leg. Find the length of the longer leg.
let the shorter leg be a=11
let the longer leg be b=x
then the hypotenuse is: x+1
Plug them into the Pythagorean Theorem and you get:

The Longer leg is b=x=60 m
(The hypotenuse would be 60+1=61 m they didn't ask for that, but they could have.)
Happy Calculating!!!!

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