Inner angles

The inner angles of the triangle are 30°, 45° and 105° and its longest side is 10 cm. Calculate the length of the shortest side, write the result in cm up to two decimal places.

Correct result:

a =  5.18 cm

Solution:

A=30 B=45 C=105 c=10 cm a/c=sin(A)/sin(C)=sin(30)/sin(105)1.018 a=c sinA/sinC=c sin30 /sin105 =10 sin30 /sin105 =10 0.5/0.965926=5.18=5.18 cm

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