SOLUTION: A right triangle has one leg twice as long as the other. Find a function that models its perimeter P in terms of the length x of the shorter leg.

Question 226277: A right triangle has one leg twice as long as the other. Find a function that models its perimeter P in terms of the length x of the shorter leg.

Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
A right triangle has one leg twice as long as the other. Find a function that models its perimeter P in terms of the length x of the shorter leg.

Step 1. The perimeter P means adding up all the three sides of a triangle.

Step 2. Let x be the shorter leg.

Step 3. Let 2x be the longer leg.

Step 4. Use Pythagorean Theorem which states that the squares of the legs of a right triangle (given as x and 2x) is equal to the square of the hypotenuse c.

Take the square root to both sides of the equation

Step 5. Then, .

Step 6. ANSWER: The Perimeter

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J

drjctu@gmail.com

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