A pyramid composed of four equilateral triangles, called a tetrahedron, has a one-side length of 5 meters. What is its surface a

Question

alexandr1967 [171]

4 years ago

11

A pyramid composed of four equilateral triangles, called a tetrahedron, has a one-side length of 5 meters. What is its surface a

rea? Round the answer to the nearest tenth.

Mathematics

2 answers:

Mamont248 [21] · Answer 1 · 2021-12-26T04:07:36+03:00

Mamont248 [21]4 years ago

7 0

Answer:

43.3

Step-by-step explanation:

Yuri [45] · Answer 2 · 2021-12-26T02:17:17+03:00

Yuri [45]4 years ago

4 0

The area of an equilateral triangle is (1/2)bh. The base is 5, so using the Pythagorean theorem we get h by:
5² = (5/2)² +h²
h = √18.75
h = 4.33
So the area of one face is (1/2)(5)(4.33) = 10.825m²
The total area is 4(10.825m²) = 43.3m²