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Use the sine rule to work out one of the sides.

(a/sina = b/sinb = c/sinc)

Then as it is an isosceles triangle the perpendicular dropped from the apex will (a) bisect the base and (b) form a right angle with the base.

Now you know one side and the hypotenuse of a right-angled triangle and you use Pythagoras (a2 + b2 = c2)

to solve the 'other' side of that, which is the height of the isosceles triangle.

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Q: You know base and angles how do I find height of isosceles triangle?
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