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2. In .d ABC, AD is the perpendicular ffi => L OAB = L OAC => AO bisects L BAC. A [CPCT] bisector of BC (see figure ). Show that .d ABC is an isosceles triangle in which AB = AC.

2. In .d ABC, AD is the perpendicular ffi

=> L OAB = L OAC
=> AO bisects L BAC. A

[CPCT]


bisector of BC (see figure ). Show that
.d ABC is an isosceles triangle in
which AB = AC.

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 8741 Points
8 months ago
Since AD is perpendicular bisector of BC. . . BD = CD and LADB = LADC = 90° ...(i) Consider triangles ADB and ADC, We have BD = DC and LADB = LADC AD = AD A ADB ::: A ADC AB = AC. [From (i)] [Common] [SAS rule] Therefore, .1ABC is an isosceles triangle with AB = AC. [CPCT]

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