Reconstruir um triângulo de que se conhecem um vértice e as rectas que contêm a mediana, a altura e a bissectriz por ele tiradas.
Pode estudar a nossa resolução:
Construir um triângulo dadas a altura, a bissectriz e a mediana num vértice.
Seja A um vértice, a altura-a, a bissectriz-b e a mediana-c dados. O problema consiste em determinar B e C de um triângulo [ABC] que tenha aqueles elementos.
Propomos-lhe que estude uma solução para o problema ou que, pelo menos, tente explicar a nossa solução (que não foi fácil para nós, confessamos).
Reconstrução
Outro(s) desafio(s):
Considere-se um triângulo [ABC], em relação ao qual adoptamos as seguintes designações: a=BC, b=AC, c=AB e h' a altura tirada a partir de A.
1) Dados a, b e h'
2) Dados b, c,h'
3) Dados b, ângulo B e h'
4) Dados b, ângulo B e h'
5) Dados ângulo B, ângulo C e h'
6)Dados a, ângulo B e h'
Dados b, ângulo A e h' - solução de Sofia Canoso
4 comentários:
Em Firefox 1.0, a correr sobre Mac OS 10.3.7, a janela onde se vê a reconstrução deste problema não tem dimensão suficiente e fica com scrolls horizontais e verticais. Fui dar uma espreitadela ao código e parece-me que os 400 x 500 pixels de dimensão para a janela não devem ser adequados para o tamanho da apresentação do problema.
Chamemos-lhe um palpite informado.
Oh Arsélio, os meus alunos de mestrado vão tentar resolver estes problemas com o Cinderella.
Jaime
Sim, provavelmente por isso e
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