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What is the perimeter of DEF to the nearest tenth?

Answer Choices:
A) 19.4
B) 20.1
C) 25.3
D) 43.3

What is the perimeter of DEF to the nearest tenth? Answer Choices: A) 19.4 B) 20.1 C-example-1
User Tony Qu
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2 Answers

3 votes
The answer to this question is 43.3
User Huusom
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Answer:

Explanation:

The perimeter of △DEF 43

Explanation:

Sin A/ a = Sin B / b = Sin C/ c

sin D/ d =

Sin E / e = sin F /f

sin 52/ e = sin 90 / 18

e = 18 x sin 52 / sin 90

e = 14.184 /1

e = 14.2

From phythagoras theorem ,

/hyp/² = /opp/² + /adj/²

18² = 14.2² + /adj/²

/adj/²= 18² - 14.2²

/adj/² = 324 + 201.64

/adj/² = 119.51

/adj/ = √122.36

= 11.1

Perimeter of Triangle = a + b +c

where a = side

b = base

c = side

Perimeter = 18 + 11.1 + 14.2

Perimeter = 43.3

Perimeter= 43

User Iamjoosy
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