1

Problem

If two sides of a triangle are 9 cm and 6 cm and its perimeter is 26 cm. Find the third side of the triangle.

2

Step

Given that,

Perimeter(P) is 26 cm side 1(a) is 9 cm side 2(b) is 6 cm

3

Formula

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

4

Step

Substitute the values into the formula:

26 = 9 + 6 + c

5

Step

Here,we are finding the "c" value

c = 26 - 15

c = 11 cm

6

Solution

Therefore, the third side(c) of a triangle is 11cm.

7

Sumup

Please summarize steps

Choices

8

Choice-A

13 is greater than the sum of the given sides(9+6).so it’s not a valid option

Wrong 13 cm

9

Choice-B

This option is the correct answer because it satisfies the conditions for a valid triangle

Correct 11 cm

10

Choice-C

This option is incorrect.12 is not a valid option for a triangle because it results in a degenerate triangle where all sides lie along the same line.

Wrong 12 cm

11

Choice-D

This option is incorrect. It is greater than the sum of the given sides (9 + 6), so it’s not a valid option.

Wrong 14 cm

12

Answer

Option

B

13

Sumup

Please summarize choices