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Q.

The angles of a triangle are in the ratio 3 : 4 : 5, then the smallest angle in degree and the greatest angle in radians is 

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a

45°,5π12

b

30°,12π5

c

150°,5π12

d

75°,3π12

answer is D.

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Detailed Solution

A=3x°,B=4x°,C=5x°

A+B+C=180°

3x+4x+5x=180°

12x=180°

x=15°

 Smallest angle = 3x = 3(15°) = 45°

Greatest angle =5x=5(15)=75°

                        =75×π180=5π12 radians

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The angles of a triangle are in the ratio 3 : 4 : 5, then the smallest angle in degree and the greatest angle in radians is