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If the angles of a triangle are in the ratio 3:4:5, find the smallest angle in degrees and the greatest angle in radians.

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by simson

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by simson

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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

12x = 180

x = 180/12

x = 15

3x = 45

4x = 60

5x = 75

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

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**

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