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Power Heronian (Posted on 2024-01-19)

A Heronian triangle has integer sides and integer area.

Find two Heronian triangles which have one side in common, where the other two sides of each are a square and a cube.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The two triangles are: (3468, 3721, 2197), and (3468, 7225, 4913).
More specifically:
common square cube area 3468 3721 2197 3734640 3468 7225 4913 7516890 Where: 3721 = 61 ^2 2197 = 13^3 7225 = 85^2 4913 = 17^3
For an explanation, refer to the solution submitted by Charlie in this location.

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

	Subject	Author	Date
	computer solution	Charlie	2024-01-19 10:36:20

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