1

Problem

Find the perimeter of a triangle having sides 4 cm, 8 cm and 6 cm.

2

Step

The given

Base (b) = 4 cm, side (a) = 6cm and, c = 8 cm

3

Formula

The perimeter of the triangle (P) formula is P = a + b + c.

4

Step

Plug the values:

P = 6 cm + 4 cm + 8 cm

p = 18 cm

5

Solution

Therefore, the perimeter of a triangle (P) is 18 cm.

6

Sumup

Please summarize steps

Choices

7

Choice-A

This option is incorrect. It does not satisfy the triangle inequality theorem

Correct 18 cm

8

Choice-B

This option is correct because it satisfies both the triangle inequality theorem and the given perimeter condition

Wrong 12 cm

9

Choice-C

This option is incorrect. The sum of the other two sides must be greater than 14. 10 + 4 = 14, which is not greater than 14

Wrong 16 cm

10

Choice-D

This option is incorrect. It satisfies the triangle inequality theorem, but it does not satisfy the given perimeter condition \$10 + 4 + 18 \notequal 25\$

Wrong 11 cm

11

Answer

Option

A

12

Sumup

Please summarize choices