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Step-by-step explanation:
Correct option is
C
Both A and B
A)
Altitude AD bisects ∠BAC
In △BAD and △CAD
AD=AD (Common Side)
∠ADB=∠ADC=90
o
(AD is altitude)
∠BAD=∠CAD (AD bisects ∠BAC)
∴△BAD≅△CAD(A.S.A)
⇒AB=AC(C.P.C.T.C.)
Thus, △BAC is an isosceles triangle.
B)
Median AD is perpendicular to BC
In △BAD and △CAD
AD=AD (Common Side)
∠ADB=∠ADC=90
o
(AD is perpendicular to BC)
BD=CD (AD is Median)
∴△BAD≅△CAD(S.A.S.)
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⇒AB=AC(C.P.C.T.C.)
Thus, △BAC is an isosceles triangle.
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