Mathematics Question and Solution
Let AB be 1 unit.
(1/sin100) = (b/sin30)
b = 0.50771330594 units.
(1/sin110) = (d/sin30)
d = 0.53208888624 units.
d is CB.
(0.50771330594/sin30) = (c/sin50)
c = 0.77786191343 units.
a² = 0.77786191343²+0.53208888624²-2*0.77786191343*0.53208888624cos10
a = 0.27014860749 units.
Therefore, showing that;
c = a+b
Again;
a = 0.27014860749 units.
b = 0.50771330594 units.
c = 0.77786191343 units.
It implies;
a+ b = 0.27014860749+0.50771330594
= 0.77786191343 units, which is c.
Showed!
