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

Question

densk [106]

3 years ago

9

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

Mathematics

1 answer:

sweet [91] · Answer 1 · 2022-01-07T03:03:25+03:00

sweet [91]3 years ago

6 0

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