the angles of a triangle are in ap such that the biggest angle is twice the least angles.
Answers
Answered by
1
40 , 60 , 80
will be the answer
hope it helps :)
will be the answer
hope it helps :)
JOYSNA2:
not useful
Answered by
3
Let the angles be (a-x),(a),(a+x).
Where a-x is smallest and a+x is biggest.
By angle sum property of triangle we have (a-x)+a+(a+x)=180°
=> a=60
Also,
2*(smallest angle)=largest angle
=>
2(60-x)=60+x
Or
120-2x=60+x
On solving we get x=20.
Then the angles of triangle would be-
1)a-x=40°
2)a=60°
3)2a-2x=a+x=80°
Where a-x is smallest and a+x is biggest.
By angle sum property of triangle we have (a-x)+a+(a+x)=180°
=> a=60
Also,
2*(smallest angle)=largest angle
=>
2(60-x)=60+x
Or
120-2x=60+x
On solving we get x=20.
Then the angles of triangle would be-
1)a-x=40°
2)a=60°
3)2a-2x=a+x=80°
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