No because they don't comply with Pythagoras' theorem for a right angle triangle
3
There's an infinite list of 3-number sets that can be the lengths of the sides of aright triangle. The only fact that's true of all of them is:(square of the length of the longest side) = (sum of the squares of the lengths of the other two sides.)
They are 3 numbers that comply with Pythagoras' theorem of a right angle triangle such as 3, 4 and 5.They are 3 numbers that comply with Pythagoras' theorem for a right angle triangle such as 3, 4 and 5
Only when it is in the form of an equilateral triangle which has 3 equal sides
No.
Triangle numbers or triangular numbers are those numbers that can form an equilateral triangle when counting the objects. The first five triangular numbers are: 1, 3, 6, 10, 15.
There are always 3 edges on a triangle, otherwise it would not be a triangle.
3
3
There's an infinite list of 3-number sets that can be the lengths of the sides of aright triangle. The only fact that's true of all of them is:(square of the length of the longest side) = (sum of the squares of the lengths of the other two sides.)
They are 3 numbers that comply with Pythagoras' theorem of a right angle triangle such as 3, 4 and 5.They are 3 numbers that comply with Pythagoras' theorem for a right angle triangle such as 3, 4 and 5
Only when it is in the form of an equilateral triangle which has 3 equal sides
1 = 1 3 = 1 + 2 6 = 1 + 2 + 3 10 = 1 + 2 + 3 + 4 15 = 1 + 2 + 3 + 4 + 5 this is how we work out triangular numbers. It is the number of dots that when drawn form a triangle The formula for the nth triangular number is n(n+1)/2
3 numbers can't be the lengths of the sides of a triangle if . . . -- any one of them is less than the difference of the other two -- any one of them is more than the sum of the other two (The above two statements are equivalent. Also, in both cases, a triangle is not formed if the any one of them is EQUAL to the difference or sum of the other two.)
3 4 5
No.
You can choose any three numbers that total 10, but the sum of any two of those numbers must be greater than the third number. For example, Isosceles triangles : 3,3,4 : 4,4,2 Equilateral triangle : 3⅓,3⅓, 3⅓ Scalene triangle : 2, 3½, 4½