if the area of an equilateral triangle is 81 root 3 cm find its height
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Answered by
281
Hi friend
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Your answer
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Area of an equilateral triangle = 81√3 cm²
Now,
--------
Let the sides be a .
Then,
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√3/4 × a² = 81√3
=> a² = (81√3 × 4)/√3
=> a² = 324
=> a = √324
=> a = 18 cm
Then,
-----------
Height = √3/2 × a = (√3/2 × 18) cm = 9√3 cm
HOPE IT HELPS
--------------
Your answer
--------------------
Area of an equilateral triangle = 81√3 cm²
Now,
--------
Let the sides be a .
Then,
----------
√3/4 × a² = 81√3
=> a² = (81√3 × 4)/√3
=> a² = 324
=> a = √324
=> a = 18 cm
Then,
-----------
Height = √3/2 × a = (√3/2 × 18) cm = 9√3 cm
HOPE IT HELPS
Answered by
92
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