1

Problem

If the perimeter of a triangle is 45 feet and two of the side lengths are 10 feet and 15 feet, what is the length of the third side?

2

Formula

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

3

Step

The side lengths of a triangle are

10 ft,15 ft

4

Step

Given Perimeter of triangle is

45 ft

5

Step

Substitute the values

45 = 10 + 15 + c

6

Step

Now ,we need to determine the length of the third side of the triangle(c),

c = 45 - 25

7

Step

After simplification

c = 20

8

Solution

The length of the third side of the triangle is 20 feet.

9

Sumup

Please summarize steps

Choices

10

Choice-A

This is not correct because it does not satisfy the triangle inequality theorem

Wrong 10 feet

11

Choice-B

This is correct because it satisfies the triangle inequality theorem

Correct 20 feet

12

Choice-C

This is not correct because it does not satisfy the triangle inequality theorem

Wrong 13 feet

13

Choice-D

This is not correct because it does not satisfy the triangle inequality theorem

Wrong 65 feet

14

Answer

Option

B

15

Sumup

Please summarize choices