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9. The bisectors of base angles of a triangle cannot encios10. If the bisectors of the base angles of a triangle enclose an angle of 135, proythe triangle is a right triangle.a ACB intersect at |
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Answer» let the bisectors of the base angles B and C of trianle ABC meet at O.given angle BOC = 135In triangle BOCOBC+BOC+OCB=1801/2B+135+1/2C=1801/2(B+C)=180-135=45B+C=45*2=90-----iIn triangleABCA+B+C=180A=180-(B+C)A=180-90=90A=90Therefore triangle ABC is an right triangle |
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