A triangular pyramid has a surface area of 174 square feet. It is made up of equilateral triangles with side lengths of 10 feet. What is the slant height?

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Suyog asked Nov 4, 2023

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A triangular pyramid has a surface area of 174 square feet. It is made up of equilateral triangles with side lengths of 10 feet. What is the slant height?

Mathematics
high-school

Suyog asked Nov 4, 2023

by Suyog

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Answer:

Slant height = 7.07 ft to nearest hundredth.

Explanation:

The slant height = height of one of the triangular sides

Using Pythagoras:

S^2 = 1/2 * 10^2 + 10^2 = 50 ft.

S = √50 = 7.071

Yent answered Nov 7, 2023

by Yent

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