MathDB

existence of a triangle with sides PA \sqrt2, PB,PC Chile 2008 L2 P2

Source:

May 31, 2019

right triangleisoscelesTrianglegeometry

Problem Statement

Let

ABC

be right isosceles triangle with right angle in

A

. Given a point

P

inside the triangle, denote by

a, b

and

c

the lengths of

PA, PB

and

PC

, respectively. Prove that there is a triangle whose sides have a length of

a\sqrt2 , b

and

c