<PRE><B>Question 478385</B>
How do I find x and use it to find the unknown sides of a right triangle? Here are the sides: 
a = x + 2, b = 6x &amp;#8722; 1, c = 6x 
I know I must use the Pythagorean Theorem,
----
hypotenuse = 6x
-------
Equation:
(x+2)^2 + (6x-1)^2 = (6x)^2
------
x^2+4x+4 + 36x^2-12x+1 = 36x^2
-----
x^2-8x+5 = 0
---
x = [8 +- sqrt(64 - 4*5)]/2
---
x = [8 +- sqrt(44)]/2
---
x = [4 +- 2sqrt(11)]
Positive solution:
x = 4 + 2sqrt(11)
----
6x = 24+12sqrt(11)
6x-1 = 23+12sqrt(11)
x+2 = 6 + 2sqrt(11)
=========================
cheers,
Stan H.
</PRE>