bayleejoelstem bayleejoelstem
  • 02-05-2024
  • Mathematics
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The base of a square pyramid is 36cm2 and the height is 4cm. The slant height of the
square pyramid is ?

Respuesta :

Swanik Swanik
  • 02-05-2024

Answer:

Step-by-step explanation:

Square pyramid diameter = [tex]\sqrt{36} \\[/tex] = 6 cm

Square pyramid distance from midpoint = [tex]\frac{d}{2} = 3 cm\\[/tex]

Using Pythagoras Theorem,

[tex]l^{2} = h^{2} + \frac{d}{2} ^{2}[/tex]

[tex]l^{2} = 16 + 9\\\\[/tex][tex]= 25 = 5^{2}\\\\[/tex]

[tex]l = 5 cm\\[/tex]

Slant height of square pyramid: 5 cm.

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