Addons
GO BACK

Post your Question


Please Login or Register for upload Image

Post Question in:



Question

The side QR of triangle PQR is produced to a point S. If the bisectors of angle PQR and angle PRS meet at point T , then prove that angle QTR = 1/2 angle QPR

Posted by: yogesh mishra in Olympiad{RMO+INMO+IMO} 6 years ago, Total Answer(s): 2

Answer(s)

 

 

To prove: Angle QTR = ½ angle QPR

 

Let angle TRS = a

Angle PRQ = 180 – 2a

Let angle TQR = b

Therefore, angle PQT = b

In triangle QPR

Angle QPR = 2a – 2b = 2 (a – b)

Similarly, in triangle QTR

Angle QTR = a – b

 

Therefore, angle QTR = ½ angle QPR

Hence prove.

By: ADMIN, 6 years ago

Given-triangle PQR AND QTR IN WHICH 

By: 137823, 2 years ago

Post your Answer (Best answer will be rewarded with handsome gifts)


Please Login or Register for upload Image



CONTENT NOT ACCESSABLE FOR PACKAGE , Click here to upgrade your account.
IMPORTANT :