Math, asked by anitamarneanita73281, 1 year ago

Triangle abc has integer sides x y z such that xz=12 how many such triangles are possible

Answers

Answered by amitnrw
4

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)

Learn more:

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Answered by Pranahu
0

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.

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