The angles of triangle are in the ratio 4:1:1 then find the ratio of the longest side to the perimeter of triangle
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The angles of a triangle are in the ratio of 4:1:1, then the ratio of largest side to perimeter is:
The angles of the triangle are 120 : 30 : 30
We Know
a/ SinA = b/ SinB = c/ SinC = K
a = K SinA = K Sin120 = √ 3/2
b = K SinB = K Sin30 = 1/2
c = K SinC = K Sin30 = 1/2
the ratio of largest side to perimeter is √ 3/2 / (√ 3/2 + 1)
= √ 3/ (√ 3 + 2)
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The angles of the triangle are 120 : 30 : 30
We Know
a/ SinA = b/ SinB = c/ SinC = K
a = K SinA = K Sin120 = √ 3/2
b = K SinB = K Sin30 = 1/2
c = K SinC = K Sin30 = 1/2
the ratio of largest side to perimeter is √ 3/2 / (√ 3/2 + 1)
= √ 3/ (√ 3 + 2)
Hope it helps, if so please mark as brainliest.
Rhutik:
Answer Is √3/ √3+2
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