বর্ধন: দুইটি সমকোণ থেকে বৃত্তস্থ ত্রিভুজ পাওয়া যায়

Illustrated · 1 min

Given that there are 2 opposite right angles in a quadrilateral, the quadrilateral is cyclic. This is so because opposite angles sum up to 180∘180^\circ. Here's an example diagram:

In fact, the right angles do not have to be opposite angles! As long as they intercept the same side, the quadrilateral is cyclic. For example, take a quadrilateral ABCDABCD with ∠CAD=∠CBD=90∘\angle CAD = \angle CBD = 90^\circ. Just look below!

In both of these diagrams, CDCD (which the diagonal intercepts) is the diameter of the circumcircle.

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