Question

derive: 1. heron's formula
2. formula for area of equilateral triangle

Answer 1

Hello , Here is your answer .

1. Hero was probably born in Alexandria of Egypt . He gave an important formula for area of Triangle in the form of 3 sides , which is called the Hero's Formula .

The formula is :


Area of Triangle = √s(s-a) (s-b) (s-c)

Note : The squares root is on all variables .

where a, b and c are sides of the Triangle and s is its semi - perimeter .

s = a + b + c / 2

2. Area of the Equilateral Triangle :

√3/4 ×(side)²

Answer 2

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1. Hero was probably born in Alexandria of Egypt . He gave an important formula for area of Triangle in the form of 3 sides , which is called the Hero's Formula .

The formula is :

Area of Triangle = $\sqrt{s(s - a} )(s - b)(s - c)$

Note : The squares root is on all variables .

where a, b and c are sides of the Triangle and s is its semi - perimeter .

s = a + b + c / 2

2. Area of the Equilateral Triangle :

√3/4 ×(side)²