Vidya did not want Grandpa to go out alone because he had recently taken a double dose of his medicines, got lost while walking and had also fallen and remained outside overnight.
Discussion Forum Latest Questions
Grandpa disliked living in the city because it was noisy and crowded. He missed his quiet brick house in town, especially its peaceful garden and big mango tree, where he had lived comfortably.
Take a right triangle with one side 3 cm and another side 3 cm. Its hypotenuse is the required 6 cm chord. Draw its circumcircle. The distance from the centre to the chord is 3 cm.
Let equal chords AB and CD intersect at P. Since the chords are equal, their corresponding parts have equal sums. Using the intersecting-chords theorem and equality of the chords, we get AP = CP and BP = DP. Hence proved.
Draw the perpendicular bisectors of any two sides of the cyclic quadrilateral. Their intersection gives the circumcentre. Then observe whether this point lies inside or outside the quadrilateral.