if all the angles of a triangle are in AP and ratio of the smallest angle in degree and the largest angle in radian is 36:pai .find the measure of all angles
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Answered by
1
Answer:
do not know
Step-by-step explanation:
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Answered by
3
Answer:
20°, 60°, 100°
Step-by-step explanation:
let the angles be (a-d) , a , (a+d), three terms of ap
sum = 3a = 180° , a = 60°
next
a-d : a+d = 36°/ 180° = 1/5
60-d : 60+d = 1/5
for equal ratios
product of means = Product of extremes
1(60+d) = 5(60-d)
60+d = 300-5d
6d = 300-60 = 240
d = 240/6 = 40°
angles are 60-40 ,60 ,60+40 = 20°, 60°, 100°
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