SOLUTION: Let N be the number of non-congruent triangles with all the following properties: A. All three sides are integers ≤ 15 B. The area of the triangle is an integer C. At le

Algebra ->  Trigonometry-basics -> SOLUTION: Let N be the number of non-congruent triangles with all the following properties: A. All three sides are integers ≤ 15 B. The area of the triangle is an integer C. At le      Log On


   



Question 1192559: Let N be the number of non-congruent triangles with all the following properties:
A. All three sides are integers ≤ 15
B. The area of the triangle is an integer
C. At least one angle is 30°, 45°, 60°, 120°, 135°, or 150°
Compute N.

Answer by ikleyn(52914) About Me  (Show Source):
You can put this solution on YOUR website!
.

Just was solved several years ago at this forum under this link

https://www.algebra.com/algebra/homework/Trigonometry-basics/Trigonometry-basics.faq.question.1113952.html

https://www.algebra.com/algebra/homework/Trigonometry-basics/Trigonometry-basics.faq.question.1113952.html



The  ANSWER  is  0  (zero) :   there are  NO  such triangles.



This problem is associated with  April  1,  the International  FOOLs'  day,   which will come soon . . .