In triangle ABC, 3angleA=angleB+angleC and angle B:angle C=2:1, then find all angles of triangle. which type of triangleABC is
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b:c=2:1
then let the angles b and c 2a and a respectively
then 3 angle A = 2a+a
3 angle A=3a
angle A = a
the sum of all angle of triangle is 180
hence angles A+C+B=180
a+2a+a=180
4a=180
a=45
angle A B and C are 45 90 and 45 respectively
angle B is 90 degree hence triangle ABC is right angled triangle as well as isosceles triangle due to same angles of measures 45
then let the angles b and c 2a and a respectively
then 3 angle A = 2a+a
3 angle A=3a
angle A = a
the sum of all angle of triangle is 180
hence angles A+C+B=180
a+2a+a=180
4a=180
a=45
angle A B and C are 45 90 and 45 respectively
angle B is 90 degree hence triangle ABC is right angled triangle as well as isosceles triangle due to same angles of measures 45
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