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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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:
Sum of angles of a triangle =180
∘
Ratio in the angles of a triangle=1:2:3
Let first angle =x
Second angle =2x
Third angle =3x
x+2x+3x=180
∘
⇒6x=180
∘
⇒x=30
∘
∴First angle =30
∘
Second angle =30
∘
×2=60
∘
and third angle =30
∘
×3=90
∘
∴One angles is 90
∘
∴It is a right angled triangle.
∴Sides an different.
∴It is a scalene triangle.
Answered By
toppr
17 V
Let, 1:2:1 be 1x : 2x : 1x
So, 1x + 2x + 1x = 180
4x = 180
x = 45
The angles are - 45, 90 and 45