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a triangle pyramid with an equilateral base has a side length of 10 centimeters and a surface area of 214.5 square meters. find its slant height
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a triangle pyramid with an equilateral base has a side length of 10 centimeters and a surface area of 214.5 square meters. find its slant height

User Pent
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2 votes

Answer:

Explanation:

User Fayeure
by
8.2k points
3 votes
area of the base = 1/2 * 10 * 5sqrt3 = 25 sqrt3

Total surface area = 25 sqrt3 + 3 * 1/2 * 10 * slant height = 214.5

25 sqrt3 + 15h = 214.5
15h = 214.5 - 25 sqrt3

h = (214.5 - 25sqrt3() / 15

= 11.41 cm to nearest hundredth
User Nijia
by
8.2k points
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