Applying the Pythagorean theorem, the length of the altitude is: 7.79 units.
What is the Pythagorean Theorem?
The Pythagorean Theorem is given as: c² = b² + a², where c is the hypotenuse.
An altitude of an equilateral triangle bisects the base of the triangle forming equal segments. Therefore, we would have the following:
c = 9
b = 4.5
Length of altitude = a = ?
Thus:
a = √(c² - b²)
a = √(9² - 4.5²)
a = 7.79 units.
Thus, applying the Pythagorean theorem, the length of the altitude is: 7.79 units.
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