Question

write heron's formula for area of triangle ​

Answer 1

Heron's formula is named after Hero of Alexendria, a Greek Engineer and Mathematician in 10 - 70 AD. You can use this formula to find the area of a triangle using the 3 side lengths. Therefore, you do not have to rely on the formula for area that uses base and height.

Answer 2

Answer:

Heron's formula states that the area of a triangle whose sides have lengths a, b, and c is

{\displaystyle A={\sqrt {s(s-a)(s-b)(s-c)}},}A = \sqrt{s(s-a)(s-b)(s-c)},

where s is the semi-perimeter of the triangle; that is,

{\displaystyle s={\frac {a+b+c}{2}}.}s=\frac{a+b+c}{2}.[2]

Step-by-step explanation:

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