wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

O is any interior point of triangle ABC. Prove that OA+OB+OC>1/2(AB+BC+AC)

Open in App
Solution

'O' is any interior point of triangle (ΔABC)
OA+OB>AB …..(1)
( Sum of two sides in a triangle always greater than third side).
Similarly,
OB+OC>BC …..(2)
OA+OC>AC …..(3)
Add, (1),(2),(3)
2(OA+OB+OC)>AB+BC+AC
OA+OB+OC>12(AB+BC+AC).

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Angle Sum Property
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon