Answer
The altitude is about 14.53 cm long.
Work Step by Step
$\frac{13}{x}$=$\frac{15}{14-x}$
182-13x=15x
28x=182
x=6.5
A$^2$=6.5$^2$+13$^2$
A$^2$=211.25
A$\approx$14.53
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