in an equalateral triangle of side 3√3cm , find the length of altitude
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The length of the altitude is 4.5 cm
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ALTITUDE of an EQUILATERAL TRIANGLE of side 3√3 is 4.5cm
◆Equation to find ALTITUDE of EQUILATERAL TRIANGLE of side a is
'h = √3/2a'
◆Thus, h =(√3/2)× (3√3)=4.5cm
◆To know how these equation is derived, check the attachment given.
◆From figure,
Sin 60° = h/(3√3)
Solving further, where sin60° = √3/2
◆h = (√3/2)×(3√3)
◆h = (√3/2)a. (Here, a = 3√3)
◆Hence the solution.
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