Calculating r, radius of the inscribed circle.
tana = 10/5
a = atan(2)°
sin30 = r/b
b = 2r units.
c = (10-r) units.
Calculating r.
(10-r)² = 5²+(2r)²-10*2rcos(30+atan(2))
100-20r+r² = 25+4r²+1.19830521758r
3r²+21.19830521758r-75 = 0
It implies;
r ≠ -9.65534 units.
r = 2.58924 units.
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