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Given an equilateral triangle with sides of length 9, find the length of the altitude. Confirm your answer using the
Pythagorean theorem.

Sagot :

akposevictor

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.

Learn more about Pythagorean Theorem on:

https://brainly.com/question/21332040

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