perplexus.info :: Numbers : Four Triangles

Four Triangles (Posted on 2024-05-06)

Rob drew four right-angled triangles. The hypotenuse of his first triangle was also the shortest side of his second triangle; the hypotenuse of his second triangle was also the shortest side of his third triangle; the hypotenuse of his third triangle was also the shortest side of his fourth triangle. The length in millimetres of each side of each triangle was an integer less than 100.

What were the lengths of the shortest and the longest sides that Rob drew?

Note: Adapted from Enigma number 1779 which appeared in New Scientist on 2013.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The respective lengths of the shortest and the longest sides that Rob drew were 9 and 97.
For an explanation, refer to:
The solution submitted by Charlie in this location.
The solution submitted by Larry in this location.

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

Subject	Author	Date
re: No Subject	K Sengupta	2024-05-08 21:58:26
No Subject	Kate134	2024-05-08 14:16:15
No Subject	Kate134	2024-05-08 14:15:05
re: Computer Solution	K Sengupta	2024-05-07 01:58:24
re: computer solution	K Sengupta	2024-05-07 01:57:47
Computer Solution	Larry	2024-05-06 11:10:38
computer solution	Charlie	2024-05-06 09:51:24

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