Question

Triangle ABC has integer sides x, y, z such that xz = 12. How many such triangles are possible

Answer 1

Step-by-step explanation:

-

xz = 12

x,z can be 1, 12 or 2, 6 or 3, 4

Possible triangles:-

1-12-12

2-6-5; 2-6-6; 2-6-7

3-4-2; 3-4-3; 3-4-5; 3-4-6.

As pointed out in the comments section, I have missed the triangle 3-4-4.

There are totally 9 triangles.

Answer 2

Answer:

9  triangles

Step-by-step explanation: