# If the Area of an Equilateral Triangle is 81sqrt3 Cm^2 Find Its Height. - Mathematics

If the area of an equilateral triangle is 81sqrt3 cm^2 find its height.

#### Solution

Area of equilateral triangle=81sqrt3 cm^2

Area of equilateral triangle =(sqrt3/4xxa^2) where a is the length of the side

⇒ 81sqrt3=sqrt3/4xxa^2

⇒324=a^2

⇒ a=18 cm

Height of triangle=sqrt3/2xxa

=sqrt3/2xx18

=9sqrt3 cm

Concept: Areas of Combinations of Plane Figures
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#### APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 17 Perimeter and Areas of Plane Figures
Q 12