if the area of the equilateral triangle is
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Answer: 9√3 cm
Step-by-step explanation:
Area = √3 * a²/4, where a = side length
81√3 = √3 * a²/4
a² = 81√3*4/√3 = 81*4
a = √81*4 = 9*2 = 18 cm
Height = √3*a/2 = √3*18/2 = 9√3 cm
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✌✌HELLO MATE✌✌
⬇⬇ANSWER⬇⬇
AREA OF EQUILATERAL TRIANGLE =( ROOT 3/4) a^2
81 ROOT 3 =( ROOT3/4)a^2
(81 ROOT 3)/a^2 = ROOT 3/ 4
1/ a^2 = ROOT 3 /4×81 ROOT 3
1/a^2 = 1/324
a^2 = 324
a = ROOT 324
a = 18
IN A TRIANGLE
BM = MC
BM =1/2 (BC)
= (1/2 ) × 18 = 9cm
BY Pythagoras THEOREM
AB^2 = BM^2 + AM^2
(18)^2 = (9)^2 + AM^2
324- 81= AM^2
243 = AM^2
AM= ROOT 243
15.5 cm ^2 ANSWER✔✔✔
HOPE IT HELPS YOU✌
❤THANKS❤
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