Mathematics
The sides AB and AC of a triangle ABC are produced; and the bisectors of the external angles at B and C meet at P. Prove that if AB > AC, then PC > PB.
Related Questions
In the given figure, AD = AC and B is a point on CD produced, show that AB > AD.
S is any point on side QR of triangle PQR. Prove that :
PQ + QR + RP > 2PS
In the following figure; AB is the largest side and BC is the smallest side of triangle ABC.
Write the angles x°, y° and z° in ascending order of their values.
In quadrilateral ABCD, side AB is the longest and side DC is the shortest. Prove that :
(i) ∠C > ∠A
(ii) ∠D > ∠B