Question

In a triangle ABC,The bidector of triangle A meets BC is perpendicular to BC ,prove that AB=AC

Answer 1

Answer:

Step-by-step explanation:

Hope it will help yoy

Let AD is the bisector of angle A to BC then angle DAB=angleDAC

To Prove= AB= AC

Proof= in triangle ADB and triangle ADC

angle DAB = angle DAC(ad is the bisector of angleA)

AD=AD(common)

angle ADB=angle ADC=90degree

Triangle ADB congruent to triangleADC (by A.S.A)

AB=AC(cpct)

Hence proved