perplexus.info :: Just Math : Integer Side Lengths

Integer Side Lengths (Posted on 2009-03-05)

The side lengths of a triangle are consecutive integers.
The largest interior angle is twice the smallest.

What are the side lengths of the triangle?

See The Solution Submitted by Bractals

Rating: 3.0000 (1 votes)

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

re: Geometric solution!

| Comment 7 of 9 |

(In reply to Geometric solution! by Chesca Ciprian)

A minor error:

Triangles AMB and ABC are not similar
Triangles BMC and ABC are the similar ones

Very nice proof. (I wish I had thought to look for similar triangles.)

Posted by Jer on 2009-03-06 13:15:03

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