75.2k views
3 votes
Consider these three squares with known area.

25
Can a right triangle be formed using these squares?

1 Answer

6 votes

Answer:

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

Also isosceles right triangle but none for equilateral triangle.

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.

User Nikita Jajodia
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories