Math, asked by piyush7362, 1 year ago

in triangle ABC,if D is midpoint of AC such that AD=CD=BD then prove that triangle ABC is a right angled-triangle

Answers

Answered by RouBai
15
Therefore,a right angled triangle.
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piyush7362: thanks bhai
Answered by Shaizakincsem
12

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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