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In triangle ABC the angle at A is three times the size of that at B and half the size of the angle at C what is angle at A?
Wiki User
∙ 12y ago
olution: we have given in the question
A=3B ---------equation 1
A=1/2C------------ equation 2
now we have to find A as asked in the question
from equation 1 B=A/3
from equation 2 C=2A
A= ?
we know that in triangle A+B+C= 180 degrees
by putting the values of B & C in triangle equation i-e
A+A/3+2A=180
taking LCM which is 3 we will get
(3A+A+6A)/3=180
10A/3 = 180
10A=540
Hence A= 54 Degrees (Answer)
Wiki User
∙ 12y ago
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