Question

what is hirons formula​

Answer 1

Answer:

Heron's Formula is a formula to find the area of a triangle when only it's 3 side lengths are given. The formula is given by

√s(s - a)(s - b)(s - c), where a, b and c are the 3 side lengths and s is the semiperimeter.

Step-by-step explanation:

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Answer 2

$\huge\mathfrak{\underline{\underline{\orange{Question:-}}}}$

Wʜᴀᴛ ɪs ʜᴇʀᴏɴ's ғᴏʀᴍᴜʟᴀ?

$\huge\mathfrak{\underline{\underline{ \pink{Answer : - }}}}$

ʜᴇʀᴏɴ’s ғᴏʀᴍᴜʟᴀ ɪs ᴜsᴇᴅ ᴛᴏ ғɪɴᴅ ᴛʜᴇ ᴀʀᴇᴀ ᴏғ ᴀ ᴛʀɪᴀɴɢʟᴇ ᴡʜᴇɴ ᴡᴇ ᴋɴᴏᴡ ᴛʜᴇ ʟᴇɴɢᴛʜ ᴏғ ᴀʟʟ ɪᴛs sɪᴅᴇs. ɪᴛ ɪs ᴀʟsᴏ ᴛᴇʀᴍᴇᴅ ᴀs ʜᴇʀᴏ’s ғᴏʀᴍᴜʟᴀ. ᴡᴇ ᴅᴏɴ’ᴛ ʜᴀᴠᴇ ᴛᴏ ɴᴇᴇᴅ ᴛᴏ ᴋɴᴏᴡ ᴛʜᴇ ᴀɴɢʟᴇ ᴍᴇᴀsᴜʀᴇᴍᴇɴᴛ ᴏғ ᴀ ᴛʀɪᴀɴɢʟᴇ ᴛᴏ ᴄᴀʟᴄᴜʟᴀᴛᴇ ɪᴛs ᴀʀᴇᴀ.  

$\large\mathtt{\underline{\blue{Additional \: Info:-}}}$

• Hero of Alexandria was a great mathematician who derived the formula for the calculation of the area of a triangleusing the length of all three sides. It is also termed as Hero’s Formula.

• He also extended this idea to find the area of quadrilateral and also higher-order polygons. This formula has its huge applications in trigonometry such as proving the law of cosines or law of cotangents, etc.

$\large\mathtt{\underline{\orange{Heron's \: Formula:}}}$

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

$\large\sf\underline{\purple{Hope \:  It  \: Helps \:  You!}}$