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The angle in a triangle are given in the ratio 3:5:10. Find the soze of the greatest angle.


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Answer:

Explanation:

  • The angle in a triangle are given in the ratio 3:5:10. Find the soze of the greatest angle.

the sum of the interior angles in a triangle is 180°

we have the ratio of the 3 angles (3, 5, 10)

we add the values ​​of the ratios

3 + 5 + 10 = 18

we divide the sum of the angles by the sum of the ratios and we find the unity

180 : 18 = 10

we multiply the unit by the largest ratio and find the largest angle

10 x 10 = 100° (your answer)

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the measures of the other two angles are

10 x 3 = 30

10 x 5 = 50

100 + 30 + 50 = 180

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