Question

the height of an equilateral triangle measure 9√3. Find it area

Answer 1

Let ‘a' is the arm of equilateral triangle. We know it's area is =√3a²/4.As well as as the height is 9√3cm , it's area = 1/2×(a)×9√3. Hence,

√3a²/4 = 1/2×a×9√3

     (√3)(√3)a²/a = 4/2×9

                      a = 6 cm

Area of Equilateral Triangle = √3a²/4

                                            = √3 × 6 × 6 / 4

                                            =9√3 cm²

:) Hope this Helps!!!