So the circle arc was drawn such that the center is inside the length 15 triangle side. Well that makes the construction right. I wasn't sure if the centre of circle was supposed to be on the line or somewhere else where perpendiculars to the other triangle sides and circle are tangent
@@CristhianMathematician nice problem. Maybe postponing the area calculation until after the radius were drawn and opposite vertex and circle centre marked would make more sense for younger viewers At a point in my life I just taught to myself if I wanted to measure a circular hole and didn't have enough measuring tape to get the diameter how would I get the radius of a circumscribed circle from 3 sides measurement. Turns out herons formula is useful after all or alternatively using generalised theorem of Pythagoras and trig identities plus law of sines does the trick
27÷15×1=1.8)(15-1.8=13.2÷2=6.6)(13×13-6.6×6.6=165.76 squroth=12.87×15=193.1217÷2=96.56full area trengle)(12.87÷2.41421356=5.3329×5.3329×3.14159268÷2=48.5499
