Pirâmide Regular: Definição, características e elementos

Definição
Em uma pirâmide reta, quando a base é um polígono regular, dizemos que ela é uma pirâmide regular. Nesse caso, as arestas laterais são congruentes e as faces laterais são triângulos isósceles congruentes. Além disso, o apótema do polígono da base é o apótema da base (m), e a altura de uma face lateral é o apótema da pirâmide (g).
[br]A pirâmide regular é aquela cuja base é um polígono regular e cujas arestas laterais são congruentes[br]entre si.[br]Uma pirâmide regular tem as seguintes características:[br]• a projeção ortogonal do vértice sobre o plano da base é o centro da base;[br]• as faces laterais são triângulos isósceles congruentes;[br]• o apótema da pirâmide regular é a altura de uma face lateral, relativa à aresta da base. [br][br][br]
Vejamos as características indicadas nas pirâmides regulares abaixo representadas, nas quais h e g são as respectivas medidas da altura e do apótema da pirâmide e m é a medida do apótema da base.[br][br][img]data:image/png;base64,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[/img]
Note que, em toda pirâmide regular, vale, pelo teorema de Pitágoras, a relação notável:[br][br] [math]g^2=h^2+m^2[/math][br][br]
Manipule o applet abaixo:
Calcule a altura da pirâmide quadrada, sabendo que cada aresta da base quadrada mede 6 cm e a apótema da pirâmide mede 5 cm.
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Information: Pirâmide Regular: Definição, características e elementos