A community for students.
Here's the question you clicked on:
 0 viewing
zhane2015
 2 years ago
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
zhane2015
 2 years ago
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

This Question is Closed

nader1
 2 years ago
Best ResponseYou've already chosen the best response.1With 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.
Ask your own question
Sign UpFind more explanations on OpenStudy
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
 Engagement 19 Mad Hatter
 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.