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emmagrace232 emmagrace232
  • 06-01-2017
  • Mathematics
Answered

What is the length of the altitude of the equilateral triangle below

What is the length of the altitude of the equilateral triangle below class=

Verified Answer :

olemakpadu
olemakpadu olemakpadu
  • 06-01-2017

Using Sine.

Sine = Opposite / Hypotenuse

sin 60° = a / (6√3)                        But sin60° = √3/2

√3/2 = a/(6√3)

Cross multiply

2a = 6√3 √3

2a = 6 √(33)

2a = 63

a = 63/2

a = 3*3 = 9

Option E.

Hope this helps.

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