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The Area of an Equilateral Triangle is (64xxsqrt3) Cm2. Find the Length of Each Side of the Triangle. - Mathematics

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Question

The area of an equilateral triangle is (`64xxsqrt3`) cm2. Find the length of each side of the triangle.

Sum

Solution

Area of equilateral triangle = `64sqrt3` cm2

Let each side = a

Then, `sqrt3/4"a"^2=64sqrt3`

a2 =`(64sqrt3xx4)/sqrt3=256`

a = (16)2

∴ a = 16 cm

∴ Each side = 16 cm

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Concept of Measurement Using a Basic Unit Area of a Square, Rectangle, Triangle, Parallelogram and Circle, Rings and Combined Figures.
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Chapter 20: Mensuration - Exercise 20 (B)

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Selina Concise Mathematics [English] Class 7 ICSE
Chapter 20 Mensuration
Exercise 20 (B) | Q 25
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