Question

if one angle of a triangle are in the ratio 1:2:3. find the angles. classify the triangle in two different ways.

plz give me the answer correct

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Answer 1

Answer:

Sum of angles of a triangle =180

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Ratio in the angles of a triangle=1:2:3

Let first angle =x

Second angle =2x

Third angle =3x

x+2x+3x=180

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⇒6x=180

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⇒x=30

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∴First angle =30

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Second angle =30

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×2=60

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and third angle =30

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×3=90

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∴One angles is 90

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∴It is a right angled triangle.

∴Sides an different.

∴It is a scalene triangle.

Answered By

toppr

17 V

Answer 2

Sum of all sides of triangle is 180

Let, 1:2:1 be 1x : 2x : 1x

So, 1x + 2x + 1x = 180
4x = 180
x = 45

The angles are - 45, 90 and 45