Question

Find the length of each side of an equilateral triangle having an area of √3 cm²​

Answer 1

✫ǫᴜᴇsᴛɪᴏɴ:-

• Find the length of each side of an equilateral triangle having an area of 9√3cm².

✫ᴛᴏ ғɪɴᴅ:-

• Length of each side

✫ɢɪᴠᴇɴ:-

• Area = $9\sqrt{3} {cm}^{2}$

✫sᴏʟᴜᴛɪᴏɴ:-

• Area of equilateral triangle = $9\sqrt{3} {cm}^{2}$

• Since,the area of equilateral triangle is$= \frac{ \sqrt{3} }{4} {a}^{2}$

Therefore,

• $\frac{ \sqrt{3} }{4} a^{2} = 9\sqrt{3}$
• ${a}^{2} = 9 \times 4$
• ${a}^{2} = 36$
• $a = 6cm$

✫ᴀɴsᴡᴇʀ:-

• Hence,the side of triangle is 6 cm.

Answer 2

Answer:

here's your answer

Step-by-step explanation:

The length of each side of an equilateral triangle having an area of 9sqrt3 cm^(2) is. Hence, the length of an equilateral triangle is 6cm