find the length of the attitude of an equilateral triangle of side 3 underoot 3cm.
Answers
Answered by
1
Answer:
Side of an equilateral ∆ABC= 3√3 cm. Hence, the length of the altitude is 4.5 cm.
Explanation:
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Answered by
11
Answer:
Given
side of an equilateral triangle
ABC = 3√3cm
AB = BC . AC = 3√3 cm
let AD = h (altitude)
BD = ½ BC ( altitude bisect the base )
BD. ½ . 3√3 = 3√3/2 cm
AB² - AD² + BD²
(3√3)² - (h)² + (3√3/2)²
=> 27 = h² + 27/4
=> h² = 27-27/4
=> h² = (4.27 - 27)/4
=> h² = 108 - 27/4
=> h² = 81/7
=> h = √81/4
=> h = 9/2
h = 4.5 cm
games the length of the altitude h is 4.5 CM
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