Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

terricherri

  • 3 years ago

Find the area of an equilateral triangle (regular 3-gon) with the given measurement. 9-inch perimeter A = sq. in Help me my answer needs to be in square root.

  • This Question is Closed
  1. terricherri
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i have 9/3sqrt4 but thats not right

  2. id21
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    P=9in a=9/3=3in High of triangle (all corners are 60 degrees):\[h=a \times \sin60^o=a \sqrt3 /2\] \[Area=a \times h/2=a^2\sqrt3/2=9\sqrt{3}/2}\]

  3. id21
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[Area=a \times h/2=a^2 \sqrt3/2=9\sqrt{3}/2\]

  4. terricherri
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so its 9sqrt3/2

  5. Harkirat
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    in case of an equilateral triangle, perimeter = 3 * side so side = perimeter/3 so each side = 9 in/3 = 3 in root(3) Area of an equilateral triangle = --------- * s² where s = length of side 4 root(3) 9 root(3) so area = --------- * (3cm)² = ---------- cm² 4 4

  6. id21
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Oh, yes, I miss one divider 2. Answer is area is \[9\sqrt3/4\] in^2

  7. id21
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[Area=a \times h/2=a^2\sqrt3/4=9\sqrt{3}/4\]

  8. terricherri
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Find the area of an equilateral triangle (regular 3-gon) with the given measurement. 6-inch apothem A = sq. in. for this one i havwe 144sqrt2

  9. terricherri
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    does anyone know that

  10. id21
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I get \[108\sqrt3\]

  11. id21
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    must check it again

  12. id21
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Apothem is 1/3 rd from high, right? Then h=3*6=18 in

  13. id21
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[Area=a \times h /2=|a=2h/\sqrt3|=2h^2/(\sqrt3 \times 2)=324/\sqrt3=108\sqrt3\]

  14. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.