By the property of an isosceles triangle: the height drawn to the base is also a median.
Therefore, AD = DC = AC / 2 = 60/2 = 30
To calculate this height of the triangle, we use the Pythagorean theorem:
AB2 = BD2 + AD2
34 ^ 2 = BD ^ 2 + 30 ^ 2
1156 = BD ^ 2 + 900
BD ^ 2 = 256
Bd = 16
Triangle Area: S = ah / 2
S = 60 * 16/2 = 480
Answer: S = 480
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