a² = 5²+2.5²-2*5*2.5cos120
120° is the single interior angle of the regular hexagon.
it implies;
a = 6.6143782777 units.
(6.6143782777/sin120) = (2.5/sinb)
b = 19.1066053509°
c = 120-b
c = 100.8933946491°
d² = 6.6143782777²+1-2*6.6143782777cos100.8933946491
d = 6.8738635424 units.
Therefore, area inscribed right-angled triangle is;
0.5*6.8738635424*6.6143782777
= 22.7331668494 square units.
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