Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

ErinWeeks

  • 2 years ago

A triangle has side lengths 10, 15, and 7. Is the triangle acute, obtuse, or right? Explain

  • This Question is Closed
  1. Azteck
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Use Pythagoras. \[a^2 + b^2 = c^2\]

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

    If they coincide, and relate, the triangle is a right angle.

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

    so it would be 10^2 + 15^2 = what ??

  4. Azteck
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    If they don't it's either going to be acute or obtuse. For it to be acute, the hypotenuse of a right angle triangle is longer than your given hypotenuse which is 15 it is acute. If not, then it's obviously left with the only option to be obtuse.

  5. Azteck
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    c in that equation is the hypotenuse.

  6. ErinWeeks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i dont get what numbers to put in which letters Im SO CONFUSED

  7. Azteck
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    the two shortest lengths of the triangle correspond with a^2 and b^2

  8. Azteck
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    the longest side which is 15, is the hypotenuse of the triangle.

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

    okay so 7^2 + 10^2 = 149 So Now What

  10. Azteck
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Now c^2= 149, am I right?

  11. ErinWeeks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    No c^2 = 225

  12. Azteck
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Now all you have to do is Find c, which is around 12.2 and the longest length given in your question is 15. So the ideal right angle triangle with the two shortest sides you were given in the question has to have a hypotenuse of 12.2

  13. Azteck
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    225?....Are you drinking anything that's giving your problems with your thinking process?

  14. Azteck
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    giving you*

  15. ErinWeeks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    well wouldnt it be 15^2 = 225 ? i dont know im confused

  16. Azteck
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    You're jumping ships at the moment. Right now c^2 is 149. You're thinking about the longest side given in your question.

  17. Azteck
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Don't do that just yet. Stay at what you're doing right now. Take mathematics as a step by step process.

  18. Azteck
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    If you ruin the steps and just jump ahead two steps further, you're going to be in trouble if you do this in exams.

  19. ErinWeeks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay so were saying a+b = 149 and c = 149 //

  20. Azteck
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    No, \[a^2 + b^2= 149\]

  21. Azteck
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    c^2= 149. c=? HINT: Use your calculator.

  22. ErinWeeks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay i get it

  23. ErinWeeks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    whats next

  24. Azteck
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Okay so, you end up with 12.2 (to the nearest dcp.) So for an ideal right angled triangle, your hypotenuse must have a length of 12.2

  25. Azteck
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    that's with the dimensions of 7, 10 that you were given in the question.

  26. Azteck
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Now in the question, you have a triangle that has an hypotenuse of 15 instead of 12.2

  27. Azteck
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    That tells you that it's not a right angled triangle. Therefore your only options are that the triangle must be acute or obtuse.

  28. Azteck
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    You with me?

  29. ErinWeeks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yea im with you sorry my nephew is being bad lol . keeep going

  30. Azteck
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Okay. So if your given hypotenuse is less than 12.2 (eg. your dimensions were 7,10 and 11) then the triangle is acute.

  31. Azteck
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    But you were given dimensions of 7, 110 and 15.

  32. Azteck
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    10*

  33. ErinWeeks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay so its not acute or right. So it would be obtuse ?

  34. Azteck
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    so it's not acute, thus it must be obtuse.

  35. Azteck
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Yes. Good.

  36. ErinWeeks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay can you explain how tho?

  37. AravindG
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    A triangle can aeither be acute,right angled or obtuse as seen from Aztec's proof it is neither right angled nor zcute so it must definitely be obtuse!!

  38. ErinWeeks
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    but i need to explain how it is an obtuse in a shorter term

  39. Azteck
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    This question only gave you three options. You can't say it's neither acute, obtuse or right angled because that's not an option. That's an aspect you should also work on is knowing your options.

  40. Azteck
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    This question does not need any further analysis because you already solved it. If the question gave you dimensions of 7,10 and 11, you would do the same process. You would then find that the hypotenuse of the triangle (ie. side length of 11) is shorter than the ideal hypotenuse of a right angled triangle which is 12.2. Therefore you say that it's acute because it's shorter than the ideal hypotenuse of 12.2 in a right angled triangle

  41. Azteck
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    If you still want to understand more about this. This link gives you everything you need. http://www.algebra.com/algebra/homework/Triangles/Triangles.faq.question.457725.html

  42. 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.