Banca de DEFESA: ALENE ALCÂNTARA REIS SILVA

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : ALENE ALCÂNTARA REIS SILVA
DATE: 05/12/2023
TIME: 14:00
LOCAL: Auditorio do IME
TITLE:

Triangles with Integer and Rational Sides: One Wayof Working in Elementary and Secondary Education

KEY WORDS:

Primitive triangle, Rational triangle, area, perimeter

PAGES: 88
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUBÁREA: Geometria e Topologia
SPECIALTY: Sistemas Dinâmicos
SUMMARY:

In this work we begin by studying triangles with integer sides whose area and perimeter
are related. We also show that starting from any given rational-sided, right triangle, for
example the (3,4,5)-triangle with area 6, we use Euclidean geometry to show that there
are infinitely many other rational-sided, right triangles of the same area. We show further
that the set of all such triangles of a given area is finitely generated under our geometric
construction. Such areas are known as “congruent numbers” and have a rich history

COMMITTEE MEMBERS:
Presidente - 2465298 - KLEYBER MOTA DA CUNHA
Interna - 1214016 - RITA DE CASSIA DE JESUS SILVA
Externo à Instituição - ADRIANO PEDREIRA CATTAI - UNEB