perplexus.info :: Shapes : Two Digit Diameter Trial

Two Digit Diameter Trial (Posted on 2016-07-11)

Consider a circle, where the length of diameter PQ is a 2-digit integer. Reversing the digits of PQ one obtains the length of a perpendicular chord RS.

PQ intersects RS at the point T. The center of the circle is denoted by O and it is known that the length of TO is a positive rational number.

Determine the length PQ.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required length of PQ is 65 .
For an explanation, refer to:
The analytic solution submitted by Jer in this location.
The computer program assisted solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: analytic solution	K Sengupta	2023-01-09 01:45:31
re: computer solution (spoiler)	K Sengupta	2023-01-09 01:43:28
analytic solution	Jer	2016-07-11 17:24:07
computer solution (spoiler)	Charlie	2016-07-11 15:31:47

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