Question

What is the perimeter of △DEF to the nearest tenth?

Answer 1

My apologies but I have a question on this problem and do not see a place to write it. I am not getting the right answer. I calculate sin 52 and multiply it by the hypotenuse. This gives me approximately 17. How did you use the

Can you give more detail on the step by step. I know the answer is correct because I found the key. I don't now how it is derived and I do not understand the use of "e"

Explanation:

Answer 2

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