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disa [49]
3 years ago
14

The length of a side of the base of a square pyramid is 15 inches. The pyramid has a lateral area of 270 square inches. What is

the slant height of the pyramid?
Mathematics
1 answer:
Alchen [17]3 years ago
3 0

Answer:

The slant height of the pyramid is 9\ in

Step-by-step explanation:

we know that

The lateral area of the square base pyramid is equal to

LA=4(\frac{1}{2}(b)(L))

where

b is the length side of the base

L is the slant height of the pyramid

we have

LA=270\ in^{2}

b=15\ in

substitute the values and solve for L

270=4(\frac{1}{2}(15)(L))

270=30(L)

L=270/30=9\ in

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