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Find the area of an equilateral …

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Find the area of an equilateral traingle of side ' a ' using heron s formula

Posted by Mohd.Zeeshan Khan 5 years, 3 months ago

CBSE > Class 09 > Mathematics

2 answers

Parampreet Kaur 5 years, 3 months ago

√3/4a

1Thank You

Yogita Ingle 5 years, 3 months ago

Side of triangle = a
s = (a +a +a)/2 = 3a/2
Area of triangle = √ s(s -a) (s -b) (s-c)
= √ 3a/2 (3a/2 - a)(3a/2 - a)(3a/2 - a)
= √ 3a/2 (a/2)(a/2)(a/2)
= √ 3a/2 (a3/8)
= √3a⁴/16
= a/4 √3
= √3/4 a

2Thank You

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Posted by Kulsum Farhan 3 hours ago

CBSE > Class 09 > Mathematics