Multiple choice

\text{What is the distance between the orthocenter and the circumcentre of a triangle whose sides measure 30 cm, 34 cm and 16 cm?}

  1. 8 cm

  2. 15 cm

  3. 9 cm

  4. 7 cm

  5. None of these
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

For a triangle with sides 30, 34, 16, check if right-angled: 16² + 30² = 256 + 900 = 1156, and 34² = 1156. Yes, it is right-angled with hypotenuse 34. In a right triangle, circumcenter is at the midpoint of hypotenuse (distance = 17 from right angle). Orthocenter is at the right angle vertex. Distance between them = 17 cm. None of 7, 8, 9, 15 match 17.

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