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.

Question

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.

Pawan Prajapati · Accepted Answer

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]

9 grade maths> 2. In .d ABC, AD is the perpendicular ffi...

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.

Harshit Singh , 4 Years ago

Pawan Prajapati

LIVE ONLINE CLASSES

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9 grade maths> 2. In .d ABC, AD is the perpendicular ffi...

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.

Harshit Singh , 4 Years ago

Pawan Prajapati

LIVE ONLINE CLASSES

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