Question

in triangle abc AB is 5 cm and BC is 6 CM then the perimeter of triangle ABC is less than how many centimetre.​

Answer 1

Answer:

The perimeter of∆ABC is less than 22 cm.

Step-by-step explanation:

Length of AC<AB+BC

Length of AC<(5+6)cm

Length of AC<11cm

So, 11 cm is the maximum length of AC.

Perimeter of ∆ABC=AB+BC+AC

=(5+6+11)cm

=22 cm

So, the maximum perimeter of ∆ABC is 22cm.

Therefore, the perimeter of∆ABC is less than 22cm.

Answer 2

Perimeter of the ΔABC should be less than 22 cm

Step-by-step explanation:

Since a triangle is possible only when the sum of two sides is greater than the third side.

From triangle ABC,

AB + BC > AC

5 + 6 > AC

or AC < 11

Since perimeter of Δ ABC = AB + BC + AC

and AC < 11

By adding AB + BC on both the sides of the inequality

AB + BC + AC < 11 + AB + BC

Perimeter of ΔABC < 11 + 5 + 6

Perimeter of ΔABC < 22

Therefore perimeter of the ΔABC should be less than 22 cm

Learn more about perimeter of triangle : https://brainly.in/question/14435956