Question

prove that bisector of a vertical angle of an isosceles triangle bisect the base of right angle

Answer 1

take an isosceles triangle abc and the bisector of angleA be intersect line bc at d

in triangle abd and triangle adc


angle bad=angle dac given

ad=ad common

ab = ac sides of isosceles triangle are eqaul therefore

traingle abd and triangle acd are congurent

so bd =dc hence prooved