porterdavid00
porterdavid00 porterdavid00
  • 23-03-2018
  • Mathematics
contestada

Find the Lateral area for the regular pyramid. (Keep it as a Square Root)

Find the Lateral area for the regular pyramid Keep it as a Square Root class=

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carlosego
carlosego carlosego
  • 23-03-2018

1. You must apply the following formula: 


 LA=1/2 ×(Perimeter of the base)(Slant length)


 2. The slant length is (By  the Pythagorean Theorem):

 a^2=b^2+c^2

 a= b^2+c^2

 a=√(1^2+3^2)

 a=√10


 3. The perimeter of the base is:


 P=2+2+2+2

 P=8


 4. Then, you have:


 LA=1/2 ×(Perimeter of the base)(Slant Length)

 LA=1/2 ×(8)(√10)

 LA=(8√10)/2

 LA=4√10

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