Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

zhane2015 Group Title

5. In trapezoid PQRS, . Find the area of PQRS. Leave your answer in simplest radical form. (1 point) 144 + 72sqrt3 72 + 72sqrt3 288sqrt3 – 216 144sqrt3 – 72

  • one year ago
  • one year ago

  • This Question is Closed
  1. zhane2015 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    • one year ago
    1 Attachment
  2. zhane2015 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    what's the formula??

    • one year ago
  3. nader1 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    With triangle RTQ, we see that angle T is 90° and angle R is 30°. Since the angles in a triangle always sum to 180°, angle Q is 180° - 90° - 30° = 60°. Thus, triangle RTQ is a 30°-60°-90° right triangle. The sides of a 30°-60°-90° triangle are in ratio 1:√3:2 (this is in the form (side opposite to 30° angle):(side opposite to 60° angle):(side opposite to 90° angle)). The hypotenuse, the side opposite opposite to the 90° angle, has a length of 24. The altitude of the triangle, the side opposite to the 30° angle, therefore has a length of 24/2 = 12; and the base of the triangle, the side opposite to the 60° angle, has a length of 12√3. Therefore, the area of PQRS is: (area of left trapezoid) + (area of triangle) = (1/2)(6 + 18)(12) + (1/2)(12√3)(12) = 144 + 72√3.

    • one year ago
    • Attachments:

See more questions >>>

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.