MathDB

2005.4

Part of Indonesia Regional MO OSP SMA - geometry

Problems(1)

right triangle with integer sides and equal values of perimeter and area

Source: 2005 Indonedia MO Province P2 q4 OSP

12/11/2020
The lengths of the three sides a,b,ca, b, c with a≤b≤ca \le b \le c, of a right triangle is an integer. Find all the sequences (a,b,c)(a, b, c) so that the values of perimeter and area of the triangle are the same.
geometryperimeterareaIntegers