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One eqilateral triangle of side 2cm. …

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One eqilateral triangle of side 2cm. What is the area of this triangle by herons formula?

Posted by Shravani Walke 5 years, 4 months ago

CBSE > Class 09 > Mathematics

2 answers

Arpit Agnihotri 5 years, 4 months ago

Sides of equilateral triangle =2cm,2cm,2cm If a=2cm , b= 2cm and c=2 cm Then, s(semi perimeter)=(2+2+2)/2 =6/2 =3cm =s Now by, heron's Formula area of a triangle=√s(s-a)(s-b)(s-c) =√3(3-2)(3-2)(3-2) =√3(1)(1)(1) =√3 cm² Therefore area of equilateral triangle with sides 2cm each is √3cm².

0Thank You

Gaurav Seth 5 years, 4 months ago

A n s w e r:

By Herons formula,

Area of equilateral triangle=√3a²/4

Given,

a= 2cm

Therefore,

Area of the triangle

= (√3a²/4) cm²

= (√3 × 2²/4) cm²

= (4√3 /4) cm²

= √3 cm²

0Thank You

ANSWER

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CBSE > Class 09 > Mathematics