Let a be the radius of the inscribed half circle.
15² = 13²+14²-2*14*13cosb
364cosb = (169+192)-225
cosb = 140/362
b = 67.380135052°
Calculating a, radius of the inscribed half circle.
13a+14a = 13*14sin67.380135052
27a = 168
a = (56/9) units.
a = 6.2222222222 units.
Again, a is the radius of the inscribed half circle.
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