0

Guest

Courses New

In a triangle ABC , If 'O' is the circumcentre and 'H' is the orthocentre, then show that 1) OA + OB + OC = OH & 2) HA+HB+HC =2HO. ๐Ÿค”๐Ÿค”๐Ÿค”

In a triangle ABC , If 'O' is the circumcentre and 'H' is the orthocentre,ย  then show thatย 
1) OA + OB + OC = OHย 
& 2) HA+HB+HC =2HO.
๐Ÿค”๐Ÿค”๐Ÿค”

Grade:11

1 Answers

Arun
25750 Points
5 years ago
we know that O'G =2GOย  where G is the centroid of trianglelet a point D between B and CSo, OD =(OB+OC )/2now OA + OB + OC = OA + 2ODwe know that G devide the point A and mib point of apposite side(D) in ratiioย  2:1So, OG =(OA 2OD)/(2+1)So, OA + OB + OC =3OG=2OG + OG=GO'+OG =OO'

Think You Can Provide A Better Answer ?

Other Related Questions on Vectors

View all Questions ยป

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More