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Answer:
4√3 in.
Step-by-step explanation:
Given:
-Equilateral triangle
-Side lengths of 8 in
Find the altitude using the Pythagorean Theorem (c² = a² + b²) where:
'a' is the shorter leg, or half of the base to find the altitude
'b' is the altitude
'c' is the Hypotenuse, or 8 in.
Therefore:
8² = 4² + b²
64 = 16 + b²
48 = b²
b = √48 or 4√3 in.
Therefore, the altitude of the triangle is 4√3 in.
