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

Assessment: JAMB UTME - Mathematics - 1993 Subject: General Mathematics

Question 1 Report

If two angles of a triangle are 30o each and the longest side is 10cm. Calculate the length of each of the other sides
Answer Details
102 = 2x2 - 2x2 cos 120o (Cosine rule)
100 = 242 - 2x2 - 2x2 x - 1 2
100 = 3x2 + x2
= 3x2
x =  100 3
=  10 3  x  3 3
x = 10 3 3 cm

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