1

Problem

If the perimeter of a triangle is 8, and it has sides of 3 and 4, what is the third side?

2

Step

The perimeter(P) of triangle is given,

8

3

Step

Given two sides of a triangle(a & b),

3 & 4

4

Hint

Now, we have to find the third side(c).

5

Formula

Perimeter of a Triangle is P = a + b+ c.

6

Step

Substitute the values in formula

8 = 3 + 4 + c

7

Step

After simplification

8 = 7 + c

8

Step

Subtract 7 on both sides

8 - 7 = 7 - 7 + c

9

Solution

The c value is 1.

10

Sumup

Please summarize steps

Choices

11

Choice-A

This is correct because it satisfies the condition for the sum of the lengths of any two sides being greater than the length of the third side

Correct 1

12

Choice-B

This is not correct because it does not satisfy the equation for the perimeter

Wrong 2

13

Choice-C

This is not correct because it does not satisfy the equation for the perimeter

Wrong 3

14

Choice-D

This is not correct because it does not satisfy the equation for the perimeter

Wrong 4

15

Answer

Option

A

16

Sumup

Please summarize choices