Triangle abc has integer sides x y z such that xz=12 how many such triangles are possible
Answers
9 Possible Triangles
(1 , 12 , 12) , ( 2, 6 , 6) , ( 2, 6 , 6) , (2 , 6 , 7) , ( 3 , 4 , 2) , ( 3, 4, 3) , (3 , 4 , 4) , ( 3, 4 , 5) , (3 , 4 , 6)
Step-by-step explanation:
Triangle abc has integer sides x y z such that xz=12
x z
1 12
2 6
3 4
Sum of Two sides > Third side
x = 1 , z = 12 , y = 12
x = 2 z = 6 , y = 5 , 6 , 7
x = 3 y = 4 y = 2 , 3 , 4 , 5 , 6
9 Possible Triangles
(1 , 12 , 12) , ( 2, 6 , 6) , ( 2, 6 , 6) , (2 , 6 , 7) , ( 3 , 4 , 2) , ( 3, 4, 3) , (3 , 4 , 4) , ( 3, 4 , 5) , (3 , 4 , 6)
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9 is the answer
Let's start with all the possibilities of sides xy of the triangle.
Let's start with all the possibilities of sides xy of the triangle.xz = 12
Let's start with all the possibilities of sides xy of the triangle.xz = 12x,z can be 1, 12 or 2, 6 or 3, 4
Let's start with all the possibilities of sides xy of the triangle.xz = 12x,z can be 1, 12 or 2, 6 or 3, 4Possible triangles
Let's start with all the possibilities of sides xy of the triangle.xz = 12x,z can be 1, 12 or 2, 6 or 3, 4Possible triangles1 - 12 - 12
Let's start with all the possibilities of sides xy of the triangle.xz = 12x,z can be 1, 12 or 2, 6 or 3, 4Possible triangles1 - 12 - 122 - 6 - 5; 2 - 6 - 6; 2 - 6 - 7
Let's start with all the possibilities of sides xy of the triangle.xz = 12x,z can be 1, 12 or 2, 6 or 3, 4Possible triangles1 - 12 - 122 - 6 - 5; 2 - 6 - 6; 2 - 6 - 73 - 4 - 2; 3 - 4 - 3; 3 - 4 - 4; 3 - 4 - 5; 3 - 4 - 6.