Question

The height of an equilateral triangle is 183 cm. Find the area of triangle.​

Answer 1

$\rm\bf\underline{Solution:}$

Area of an equilateral triangle = 81√3 cm²

$\rm\bf\underline{Now:}$

Let the sides be a .

$\rm\bf\underline{ Then:}$

√3/4 × a² = 81√3

=> a² = (81√3 × 4)/√3

=> a² = 324

=> a = √324

=> a = 18 cm

$\rm\bf\underline{ Then:}$

Height = √3/2 × a = (√3/2 × 18) cm = 9√3 cm

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Answer 2

$\huge \underline \pink {answer}$

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