A triangle is inscribed ina circle of radius 1 The distance between the orthocentre and the circumcentre of - Maths - Straight Lines

Question

A triangle is inscribed ina circle of radius 1 The distance between
the orthocentre and the circumcentre of the triangle can not be
(options are 1, 2 , 3/2 ,4)

Brijendra Pal · Accepted Answer

HI,
For solving Olympiad problems we should know the basic property
that

<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_59994f2d247bb%20png"
style="width: 476px; height: 106px;">
So here R is 1 so HO must be less than or equal to 3 so 4 cannot be
the distance

A triangle is inscribed ina circle of radius 1 . The distance between the orthocentre and the circumcentre of the triangle can not be.. (options are 1, 2 , 3/2 ,4)