$解:作等腰三角形?ABC,?過頂點(diǎn)?A?作?AD⊥BC,?交?BC?于點(diǎn)?D?$
$①當(dāng)腰長為?6?時(shí),即下圖?AB=6?$
$∵?C_{△ABC}= 20?$
$∴?BC=8?$
$∴?BD=\frac {1}{2}BC= 4?$
$?cos B =\frac {BD}{AB}=\frac {2}{3}?$
$②當(dāng)?shù)走呴L為?6?時(shí),即圖中?BC=6?$
$∵?C_{△ABC}= 20?$
$∴?AB=7?$
$∴?BD=\frac {1}{2}BC= 3?$
$?cos B=\frac {BD}{AB}=\frac {3}{7}?$
$綜上所述,底角的余弦為?\frac {2}{3}?或?\frac {3}{7}?$