Question

Each side of an equilateral triangle is 6√3 cm. The altitude of the triangle is
6cm
Scan
9cm
35 cm​

Answer 1

area = √3/4 x 6√3² = 27√3 = bh/2

27√3 = 3√3 x height

h = 9 cm

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Answer 2

The Altitude of an Equilateral Triangle = 9 Units

Step by Step Explanation:

   Given,

       The Length of Side of an Equilateral Triangle,a = 6$\sqrt{3}$ Units

   To Find the Altitude of an Equilateral Triangle,

       We know that,

           The altitude of  an equilateral triangle(h) =($\sqrt{3}/2$).a

               =$\sqrt{3} /2$.6$\sqrt{3}$

               = $\sqrt{3}$.3$\sqrt{3}$

               = 3 × 3 units

               = 9 units

∴ The altitude of  an equilateral triangle(h) = 9 units

Thus, the altitude of  an equilateral triangle(h) is equal to 9 units.