the median from a vertex of triangle PQR is perpendicular to the opposite side. is triangle PQR isosceles
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Step-by-step explanation:
Let ABC is an isosceles triangle with AB=AC and let AD be the median to the base BC.then D is the mid-point of BC.
ΔABD≅ΔADC by SSS
so, ∠ADC=∠ADB=x
∴∠ADB+∠ADC=180∘
x+x=180
x=2180=90∘
∴∠ADB=∠ADC=90∘

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