SOLUTION: Hi, Please help me on this question. Thank you. M11-Q4. A right triangle has side lengths that are consecutive even integers. *Note: Consecutive even integers are even integer

Algebra ->  Linear-equations -> SOLUTION: Hi, Please help me on this question. Thank you. M11-Q4. A right triangle has side lengths that are consecutive even integers. *Note: Consecutive even integers are even integer      Log On


   

Question 1115180: Hi,
Please help me on this question. Thank you.
M11-Q4. A right triangle has side lengths that are consecutive even integers. *Note: Consecutive even integers are even integers that follow each other. They have a difference of 2 between every two numbers. If "n" is an even integer, then n, n + 2, n + 4, and n + 6 will be consecutive even integers. Use the Pythagorean theorem to find the lengths of those sides. Remember: In a right triangle where a and b are the measures of the legs and c is the measure of the hypotenuse, a^2 + b^2 = c^2

Represent each side of the triangle in terms of the first side, set up an equation based on the pythagorean theorem, solve the equation, and state the length of each side of the triangle.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
n%5E2%2B%28n%2B2%29%5E2=%28n%2B4%29%5E2, can be a way to start. Not the only choice to start.

n%5E2%2B%28n%2B2%29%5E2=n%5E2%2B8n%2B16
n%5E2%2B4n%2B4=8n%2B16
n%5E2-4n-12=0
%28n-6%29%28n%2B2%29=0
and you should see how to continue and finish.