In an isosceles triangle ABC,with AB=AC,the …

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In an isosceles triangle ABC,with AB=AC,the bisector of angle B and angle c intersect each other at O.join A to O. Show that: 1)OB=OC. 2)AO bisect angle A

Posted by Sarthak Gore 4 years, 2 months ago

CBSE > Class 09 > Mathematics

2 answers

Aarushi Erande 4 years, 2 months ago

Where angle C touches line AB mark that point as E and where angle B touches AC mark that point as F Now in triangle EBC and FCB •EB=FC(given) •BC=BC(common side) •angleB=angleC( angles oppo to equal sides of /\le)* Hence EBC=FCB by SAS congruence, EC=FB so OB=OC by cpct. Extend AO to a point P on BC So in /\le APC and APB •AP=AP(common side) •AB=AC(given) •angleB =angleC (")* So Triangle APB=APC by SSA congruence So angle APC=APB by cpct Hence proved

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Rohit Kumar 4 years, 2 months ago

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CBSE > Class 09 > Mathematics