The Total solution for NCERT class 6-12
In ╬ФABC, AD is the perpendicular bisector of BC (see thegiven figure). Show that ╬ФABC is an isosceles triangle in which AB = AC.
In ╬ФADC and ╬ФADB,
AD = AD (Common)
тИаADC =тИаADB (Each 90┬║)
CD = BD (AD is the perpendicular bisector of BC)
тИ┤ ╬ФADC тЙЕ ╬ФADB (By SAS congruence rule)
тИ┤AB = AC (By CPCT)
Therefore, ABC is an isosceles triangle inwhich AB = AC.