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Calculate the Area and the Height of an Equilateral Triangle Whose Perimeter is 60 Cm. - Mathematics

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Question

Calculate the area and the height of an equilateral triangle whose perimeter is 60 cm.

Sum

Solution

Each side of the triangle is `60/3` =  20 cm

Hence the area of the equilateral triangle is given by
A = `sqrt3/4` x 202

   = 100√3
   = 173.2 sq.cm

The height h of the triangle is given by
`1/2` x 20 x h = 173.2
h = 17.32 cm.

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Chapter 20: Area and Perimeter of Plane Figures - Exercise 20 (A) [Page 248]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 20 Area and Perimeter of Plane Figures
Exercise 20 (A) | Q 12 | Page 248
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