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

Question 217797: A right triangle has one leg three times 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 three times 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. Let x be the shorter leg.

Step 2. Let 3x be the longer leg and since it is three times longer than the shorter leg.

Step 3. Perimeter P means we add up all three sides of a triangle.

Step 4. Use Pythagorean Theorem to find the hypotenuse which states that the sum of the squares of the legs (x and 3x) is equal to the sum of the squares of the hypotenuse.

where c is the hypotenuse

Step 5. So

Step 6. ANSWER is

I hope the above steps were helpful.

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And good luck in your studies!

Respectfully,
Dr J
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