if area of an equilateral triangle is 50 root 3 then find the length of its altitude
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Given : area of an equilateral triangle is 50√3
To Find : the length of its altitude
Solution:
area of an equilateral triangle =(√3 / 4) (side)²
(√3 / 4) (side)² = 50√3
=> (side)² = 200
=> side = 10√2
Area of triangle = (1/2) * base * altitude
=> (1/2) * 10√2 * altitude = 50√3
=> altitude = 10√3/√2
length of its altitude = 10√3/√2 units
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