All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes
Angle Ratio Ascertainment 4 (Posted on 2016-06-26) Difficulty: 3 of 5
Each of the points S and T lie on side PQ of the triangle PQR, and

(PS /SQ )*(PT/TQ) = (PR/RQ)2

Find: ∠ PRS/∠ QRT.

No Solution Yet Submitted by K Sengupta    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Thoughts Comment 1 of 1
If PQR is isosceles then PR/RQ = 1 and angle(PRS)/angle(QRT) = 1.  S and T will satisfy the inequality as long as PS=TQ.

If I start with any triangle PQR and point S, then the position of T can be calculated to satisfy the given equality.

  Posted by Brian Smith on 2016-06-27 09:23:48
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information