Question

Consider these three squares with known area.

Answer 1

Answer:

yes a scalene right angle triangle can be found for 25 for area.

Also isosceles right triangle but none for equilateral triangle.

Step-by-step explanation:

3 x 2 x 4 =25.2

3.5 x 2.5 x 5= 25

2.103 x 2.9 x 4.1 = 25

2.343 x 3.234 x 3.30 = 25

Also an isosceles right side triangle

2.7 x 2.7 x 3.43 = 25

No equilateral right side triangles can be found.

The decimals can not be larger than the hypotenuse for equilateral sides that equal 25 and 25/3 and you cannot use reoccurring decimals for angles and their sides.

25 is not a great number for squares as only 5 or 1 divide equally.

There are better numbers like 20, 40, 60,  18. 24, 36  etc.  or 16.8

but for squares 9. 16. 25, 36  I would say 36 and 64 are better square numbers as they do not have any prime numbers that divide into it ie) like 9, 27 example where 3 x 3 x 3 is the only triangle that could be found without using decimal for an area of 27.