SOLUTION: 2. A right triangle has side AB=5, BC=x, AC= missing 1) Write an expression that represents the hypotenuse AC in terms of x. 2) Find the value of x when AC ‒ AB = 8.

Algebra ->  Rational-functions -> SOLUTION: 2. A right triangle has side AB=5, BC=x, AC= missing 1) Write an expression that represents the hypotenuse AC in terms of x. 2) Find the value of x when AC ‒ AB = 8.       Log On


   

Question 1033198: 2. A right triangle has side AB=5, BC=x, AC= missing

1) Write an expression that represents the hypotenuse AC in terms of x.
2) Find the value of x when AC ‒ AB = 8.
3) Explain why your solution is valid or invalid and use your solution to write a Pythagorean Triple that represents the side lengths of ΔABC.

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
1) The hypotenuse AC would be sqrt%28x%5E2%2B25%29.
2) If AC - AB = 8, then sqrt%28x%5E2%2B25%29+-+5+=+8.
==>sqrt%28x%5E2%2B25%29+=+13 ==> x%5E2+%2B+25+=+169 ==> x%5E2+=+144 ==> x = 12.
The value of x should be positive because the hypotenuse AC is the longest side of the (right) triangle.
3) The pythagorean triple would be 5, 12, 13.