In a triangle with sides 9, 12 and 15 cm, find the distance of orthocenter from all three vertices.
Explanation:
Since, 9, 12 and 15 form a pythagorean triplet, the given triangle is a right triangle.
Also in a right triangle the orthocenter lies on the right vertex.
∴ The distance of orthoceter from 3 vertices will be 9, 0 and 12.
⇒ The sum of the distances = 9 + 0 + 12 = 21
Hence, option (c).
» Your doubt will be displayed only after approval.
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.