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If two angles of a triangle are 30° each and the lo...

If two angles of a triangle are 30° each and the longest side is 10cm. Calculate the length of each of the other sides.

A.

5cm

B.

4cm

C.

3√3 cm

D.

1033cm

Correct answer is D

Let each of the unknown side be x.

102=x2+x22(x)(x)cos120

100=2x22x2cos120

100=2x2+x2=3x2

x = 1003

= 103 x 33

x = 1033cm