SOLUTION: Y^2=x^2+12^2 represents the Pythagorean Theorem for a right triangle, where one of the shorter sides is 12 feet long, the other side is x(in feet), and y is the hypottenuse of the

Algebra ->  Pythagorean-theorem -> SOLUTION: Y^2=x^2+12^2 represents the Pythagorean Theorem for a right triangle, where one of the shorter sides is 12 feet long, the other side is x(in feet), and y is the hypottenuse of the       Log On


   

Question 562266: Y^2=x^2+12^2 represents the Pythagorean Theorem for a right triangle, where one of the shorter sides is 12 feet long, the other side is x(in feet), and y is the hypottenuse of the triangle.
Graph the equation using at least 5 to 8 points.
thank you
Rod Curley
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Y^2=x^2+12^2 represents the Pythagorean Theorem for a right triangle, where one of the shorter sides is 12 feet long, the other side is x(in feet), and y is the hypotenuse of the triangle.
Graph the equation using at least 5 to 8 points.
:
y^2 = x^2 + 12^2
Find the square root of both sides, we need this form to graph it
y = sqrt%28x%5E2+%2B+144%29
:
Plot 6 points from 2 to 16
x = 2;
y = sqrt%282%5E2+%2B+144%29
y = sqrt%28148%29
y = 12.2
:
x = 3.5
y = sqrt%283.5%5E2+%2B+144%29
y = sqrt%2812.25%2B144%29
y = sqrt%28156.25%29
y = 12.5
:
x = 5
y = sqrt%285%5E2+%2B+144%29
y = sqrt%2825%2B144%29
y = sqrt%28169%29
y = 13
:
Construct a table, you can complete it, the same way we did the first 3 values:
x | y
-------
2 |12.2
3.5|12.5
5 |13.0
9 |
12 |
16 |
:
Your graph should be similar to this:
+graph%28+300%2C+200%2C+-6%2C+20%2C+-10%2C+25%2C+sqrt%28x%5E2%2B144%29%29+
You have one leg on the horizontal, x; and the hypotenuse on the vertical, y