Question 45764
a^2 + b^2 = c^2  [Use the Pythagorean Theorem]
a=11.625
b=b
c=12
.
(11.625)^2 + b^2 = (12)^2
135.141 + b^2 = 144
135.141 - 144 = b^2
-8.859 = b^2 [Disregard the negative sign]
{{{sqrt(8.859) }}}={{{(sqrt (b^2)) }}}
2.976 = b [Final answer]
.
Check by plugging b=2.976 back into the original equation:
a^2 + b^2 = c^2
(11.625)^2 + (2.976)^2 = (12)^2
135.141 + 8.856 = 144
143.997 equivelent to 144 [Checks out]