The altitude of equilateral triangle ABC is 15. What is the length of a side of triangle ABC?
2*15/√3
Tan60 = 15/x
X = 15/Tan60 = 8.66
Side = 2x = 2 * 8.66 = 17.32
To find the length of a side of an equilateral triangle, you can use the formula:
Side length = (2 * altitude) / √3
Given that the altitude of equilateral triangle ABC is 15, we can substitute the value into the formula and calculate the side length:
Side length = (2 * 15) / √3
Simplifying the expression:
Side length = (30) / √3
To rationalize the denominator (√3), we can multiply both the numerator and denominator by √3:
Side length = (30 * √3) / (√3 * √3)
Simplifying further:
Side length = (30 * √3) / 3
Side length = 10 * √3
Therefore, the length of a side of triangle ABC is 10 * √3.
To find the length of a side of an equilateral triangle, we can use the formula:
Side length = (2 * Altitude) / √3
In this case, the altitude of the equilateral triangle ABC is given as 15. Plugging this value into the formula, we get:
Side length = (2 * 15) / √3
Now, let's simplify this expression:
Side length = 30 / √3
To rationalize the denominator (√3), we can multiply both the numerator and denominator by √3:
Side length = (30 * √3) / (√3 * √3)
Simplifying further:
Side length = (30 * √3) / 3
Side length = 10 * √3
Therefore, the length of a side of triangle ABC is 10√3.