Math, asked by chandawanish1, 1 month ago

7. If all the angles of a triangle are in A.P. and ratio of the smallest angle in degree and the largest angle in radian is 36 : T. Find the measure of all angles.​

Answers

Answered by diwesh13
2

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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Answered by sohamkdeb
1

Answer:

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Step-by-step explanation:

This may help you

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