Answer:
B) 5mm, 3mm, 7mm
Step-by-step explanation:
Triangles can only be formed when the sum of each two sides of the triangle is greater than the other side.
A.
[tex]6cm+9cm>2cm[/tex]
[tex]9cm+2cm > 6cm[/tex]
[tex]6cm+2cm < 9cm[/tex] <-
Because [tex]6cm+2cm < 9cm[/tex], ∴ Option A cannot form a triangle.
B.
[tex]5mm+3mm > 7mm[/tex]
[tex]5mm + 7mm > 3mm[/tex]
[tex]3mm+7mm > 5mm[/tex]
Because all combinations satisfy, ∴ Option B can form a triangle.
C.
[tex]4cm+8cm > 3cm[/tex]
[tex]8cm+3cm > 4cm[/tex]
[tex]4cm+3cm < 8cm[/tex] <-
Because [tex]4cm+3cm < 8cm[/tex], ∴ Option C cannot form a triangle.
D.
[tex]5mm + 2mm > 1mm[/tex]
[tex]5mm+1mm>2mm[/tex]
[tex]1mm+2mm<5mm[/tex] <-
Because [tex]1mm+2mm<5mm[/tex], ∴ Option D cannot form a triangle.
Hope this helps :)
