perplexus.info :: Shapes : Side Ratio Resolution

Home > Shapes

Side Ratio Resolution (Posted on 2015-07-18)

Triangle PQR has incentre I and circumcentre O. Suppose that ∠ PIO = 90^o and ∠ QIO = 45^o.

Find the ratio PQ: QR : RP

No Solution Yet Submitted by K Sengupta

No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)

Solution

| Comment 1 of 4

PQR is a right triangle with

ratio PQ:QR:RP = 5:4:3.

Proof that it satisfies the angle requirements is trivial,
but tedious.

Posted by Bractals on 2015-07-19 17:28:02

Please log in:

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

Chatterbox:


perplexus dot info