Answer:
B) 5mm, 3mm, 7mm
Explanation:
Triangles can only be formed when the sum of each two sides of the triangle is greater than the other side.
A.
![6cm+9cm>2cm](https://img.qammunity.org/2021/formulas/mathematics/college/g43rf2bkow3dyxc24fylll15lxxdoekq4a.png)
![9cm+2cm > 6cm](https://img.qammunity.org/2021/formulas/mathematics/college/a4i966kahyfpljmmb7gdjqsp9ygwcg3ek9.png)
<-
Because
, ∴ Option A cannot form a triangle.
B.
![5mm+3mm > 7mm](https://img.qammunity.org/2021/formulas/mathematics/college/xp9ajac3zup6zxzt1lkmdxvvs09hcwdke6.png)
![5mm + 7mm > 3mm](https://img.qammunity.org/2021/formulas/mathematics/college/pvdxgvsjt28nxe1kisba9cvw4vifn797nx.png)
Because all combinations satisfy, ∴ Option B can form a triangle.
C.
![4cm+8cm > 3cm](https://img.qammunity.org/2021/formulas/mathematics/college/syh1gubc8uhi1cfgi1joy8gud4epcrqlv6.png)
![8cm+3cm > 4cm](https://img.qammunity.org/2021/formulas/mathematics/college/ri02f5a3ejntqttpf1it4pjtk8wglr5ulk.png)
<-
Because
, ∴ Option C cannot form a triangle.
D.
![5mm + 2mm > 1mm](https://img.qammunity.org/2021/formulas/mathematics/college/cwco4d19uw6mbeqlhrae2vw1nzz9imlivw.png)
![5mm+1mm>2mm](https://img.qammunity.org/2021/formulas/mathematics/college/jtaknqnf5shvxj7ef1qtjec5lfeiegpz86.png)
<-
Because
, ∴ Option D cannot form a triangle.
Hope this helps :)