A 12-foot ladder leans against the side of a house with its base 3 feet from the house. Use the Pythagorean Theorem to approximate how high the ladder reaches up the side of the house. Round your answer to the nearest hundredth.
\(a^2+b^2=c^2\)
\(12^2+3^2=c^2\)
\(144+9=c^2\)
\(153=c^2\)
\(\sqrt{153}=\sqrt{c^2}\)
\(c=12.37\)
the ladder reaches12.37 feet up the side of the house
