If O is a point inside a triangle ABC, which of the following is true ?

(AO + BO + CO) < (AB + BC + CA)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

AO + BO + CO > (AB + BC + CA)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

AO + BO + CO = AB + BC + CA

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of these

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D
None of these

$O A + O B > A B, O A + O C > A C & O B + O C > B C$ .
$2 (O A + O B + O C) > (A B + B C + A C)$ .

Suggest Corrections

Similar questions

In a triangle ABC if a point O is inside the triangle the please prove that AB + BC + CA > AO + BO + CO.

△

In a triangle ABC if O is any point inside the triangle then prove that AB + BC + CA < 2 (AO + BO + CO ).

In a right angled triangle $∠ A$ is a right-angle and AO is perpendicular to BC at point O, then ${A O}^{2} = B O \times C O$ .

In $△$ ABC, if 2(bc cos A + ca cos B + ab cos C) =

Join BYJU'S Learning Program