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2015-07-25T16:50:48+05:30

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3x + 4x + 5x = 180
12x = 180
x = 180/12
x = 15
3x = 45
4x = 60
5x = 75 

so the smlllest ngle in degrees is 3x = 45 dgree

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2015-07-25T17:35:39+05:30

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Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Ratio among the angles = 3:4:5
Let the angles be 3x, 4x and 5x.

Sum of angles of a triangle = 180
⇒ 3x + 4x + 5x = 180
⇒ 12x = 180
⇒ x = 180/12 = 15

Angles are(in degree):
3x = 15*3 = 45
4x = 15*4 = 60
5x = 15*5 = 75

greatest angle = 75 degree
180 degree = π radians
1 degree = (π / 180) radians
75 degree = (π / 180) * 75 = 3.14*75/180 = 1.308 radian

Smallest angle = 45 degree
greatest angle = 1.308 radian
1 5 1