Question

Cum aflu latura unei piramide triunghiulare regulate daca imi da,h=6 cm,apotema piramidei=10 cm?

Answer 1

ap²=h²+[(l√3)/6]²⇒[(l√3)/6]²=ap²-h²⇒[(l√3)/6]²=10²-6²⇒[(l√3)/6]²=100-36⇒[(l√3)/6]²=64⇒(l√3)/6=√64⇒(l√3)/6=8⇒l√3=8*6⇒l√3=48⇒l=48/√3⇒l=(48√3)/3⇒l=16√3