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The angles of triangle are in …

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The angles of triangle are in A,P, the least being half the greatest. Find the angles

Posted by Akansha ..... 5 years, 2 months ago

CBSE > Class 10 > Mathematics

3 answers

Boobala Guru 5 years, 2 months ago

Here Sum of all angles of a triangle =180 degree -(1) It is given that the three angles are in AP So we consider the three angles as a,a+d,a+2d From (1) a+a+d+a+2d=180 a+a+a+3d=180 3a+3d=180 3(a+d)=180 a+d=60 -(1) And a=30 -(2) Substitute (2) in (1) 30+d=60 d=30 So a+d=30+30=60 a+2d=30+2(30)=30+60=90 Therefore The three angles of a triangle are in AP are 30,60,90.

Paramveer Singh 5 years, 2 months ago

Hi Akansha here is your answer. But I don't know why this OBJ boxes have come, so neglect it. THANK YOU

Paramveer Singh 5 years, 2 months ago

It is given that the angles are in AP. Let the angles be a-d, a and a+d. The sum of angles is 180 degree. The value of a is 60. The least being half the greatest find the angle. The value of d is 20. Therefore, the measure of angles are 20, 60, 100.

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