SOLUTION: What is the length of an altitude of an equilateral triangle whose side is 9 A) 9/2 radical 3 B) 9/2 C) 18 D) 9/2 radical 2

Question 817527: What is the length of an altitude of an equilateral triangle whose side is 9
A) 9/2 radical 3
B) 9/2
C) 18
D) 9/2 radical 2
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
hyp = 9
hyp = sqrt( a^2 + (hyp/2)^2 )
9 = sqrt( a^2 + (9/2)^2 )
81 = a^2 + (9/2)^2
a^2 = 81 - (9/2)(9/2)
a^2 = 81 - (81/4)
a^2 = 81(4/4) - 81(1/4)
a^2 = 81( (4/4) - (1/4) )
a^2 = 81(3/4)
a^2 = (81/4)3
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a = 9/2 * sqrt(3)
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