Question

थेल्स प्रमेय सिद्ध करें
proved that thales theorem​

Answer 1

Answer:

ज्यामिति में थेल्स के प्रमेय (Thales' theorem) के अनुसार किसी भी वृत्त के परिधि पर स्थित तीन बिन्दुओं A, B तथा C हो तो कोण ABC का मान ९० अंश होगा यदि AC उस वृत्त का कोई व्यास हो। यह प्रमेय 'अन्तःनिर्मित कोण प्रमेय' (inscribed angle theorem) का एक विशेष रूप है।

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In geometry, Thales's theorem states that if A, B, and C are distinct points on a circle where the line AC is a diameter, the angle ABC is a right angle. Thales's theorem is a special case of the inscribed angle theorem and is mentioned and proved as part of the 31st proposition in the third book of Euclid's Elements.

Answer 2

If a line is drawn parallel to one side of a triangle and it intersects the other two sides at two distinct points then it divides the two sides in the same ratio. Given : In ∆ABC , DE || BC and intersects AB in D and AC in E. Construction : Join BC,CD and draw EF ┴ BA and DG ┴ CA.