Math, asked by divsiv9, 1 year ago

explaine me the Thales theorem of triangle please

Answers

Answered by sachin9064
0
Figure for the proof.

Since OA = OB = OC, ∆OBA and ∆OBC are isosceles triangles, and by the equality of the base angles of an isosceles triangle, ∠OBC = ∠OCB and ∠BAO = ∠ABO.

Let α = ∠BAO and β = ∠OBC. The three internal angles of the ∆ABC triangle are α, (α + β), and β. Since the sum of the angles of a triangle is equal to 180°, we have

{\displaystyle \alpha +\left(\alpha +\beta \right)+\beta =180^{\circ }}
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