in triangle ABC,if D is midpoint of AC such that AD=CD=BD then prove that triangle ABC is a right angled-triangle
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Therefore,a right angled triangle.
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piyush7362:
thanks bhai
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In ΔADB, AD = BD
∠DAB = ∠DBA = ∠x ( these are the angles which have opposite sides)
In ΔDCB, BD = CD
∠DBC = ∠DCB = ∠y
In ΔABC we will use the angle sum property
∠ABC + ∠BCA + ∠CAB = 180°
2(∠x + ∠y) = 180°
∠x + ∠y = 90°
∠ABC = 90°
This means that ABC is the right angled triangle.
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