RS Aggarwal & V Aggarwal - Mathematics

Book: RS Aggarwal & V Aggarwal - Mathematics

Chapter: 7. Areas

Subject: Mathematics - Class 9th

Q. No. 13 of Exercise 7A

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13

If the area of the equilateral triangle is cm2, find its height.

Let us assume a be the side of the equilateral triangle


We know that,


Area of an equilateral triangle = sq units


It is given that,


Area of the equilateral triangle = 81 cm2


81 cm2 = a2


a2 = = 324


a = = 18 cm


Height of an equilateral triangle = a


Since, the value of a is 18 cm


Therefore,


Height = × 18


= 9 cm


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