To find the length of the altitude, we have to use the ratios of the similar sides.
Let the length of altitude=x
Ratio of sides:
[tex] \frac{x}{3} = \frac{27}{x} \\
Cross \ multiply \\
x^{2} =81 \\
Take \ square \ root.\\
\sqrt{x^2}= \sqrt{81} \\
x=9 \\ [/tex]
So length of altitude is 9 cm.
Answer: 9 cm
