Explanation:
Area = (1/2) *b*h
60 =(1/2)*10h
120 =10h
h=120/10
h= 12 cm
From the figure,
AB=BC(since the given triangle isosceles).
AE is perpendicular to BC.
BE =EC = 5cm ( since is AE bisects BC)
AB= h=12cm (height of the isosceles triangle)
Applying Pythagoras theorem in triangle ABE,
AB² = BE²+ AE²
AB² = 5²+12²
AB² = 169
AB =√169
AB= 13 cm
Hence AB=BC =13cm
Length of equal sides =13cm