Question

The glass dome of a ceiling of a greenhouse is made of 25 congruent equilateral triangles. The side of each triangle is 8 ft. How long is the altitude of the triangle? Round the answer to the nearest foot.

Answer 1

The altitude of each triangle is approximately 7 feet.

How to get the altitude

The altitude of an equilateral triangle can be calculated using the formula:

`\[ \text{Altitude} = (√(3))/(2) * \text{Side length} \]`

Given the side length of each equilateral triangle is 8 feet, we can substitute it into the formula:

`\[ \text{Altitude} = (√(3))/(2) * 8 \approx 6.93 \text{ feet} \]`

Rounded to the nearest foot, the altitude of each triangle is approximately 7 feet.