Flag 9 grade maths> 2. In .d ABC, AD is the perpendicular ffi...
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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 inwhich AB = AC.

Harshit Singh , 4 Years ago
Grade 12th pass
anser 1 Answers
Pawan Prajapati

Last Activity: 4 Years 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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