1

Part of 2016 Poland - Second Round

Problems(1)

Rational distances in triangle

Source: 67 Polish MO 2016 Second Round - Problem 1

P

lies inside triangle of sides of length

3, 4, 5

. Show that if distances between

P

and vertices of triangle are rational numbers then distances from

P

to sides of triangle are rational numbers too.

geometryrational numberPolandalgebra