Question

The picture below shows a triangular coffee table ABC.

A right triangle ABC is shown with BC equal to 82 centimeters. A dashed line joins A to a point D on BC. The measure of angle ADB is 60 degrees and the measure of angle ACB is 30 degrees.

A carpenter plans to make two small triangular tables by cutting the big table along the line AD. What will be the length of the side DC of the table ADC?

27.3 cm

54.7 cm

58.0 cm

47.3 cm

Answer 1

@Hero

Answer 2

@heather040200

Answer 3

@goldeverything

Answer 4

@uri

Answer 5

@divagirl

Answer 6

@darionm ,@mathmate ,@murrcat @SA5UK3

Answer 7

i need help!!!!

Answer 8

@heather040200

Answer 9

Do you know the relationships of the sides in a 30-60-90 triangle?

Answer 10

yes

Answer 11

Then you know that AB is 82/sqrt3, right?

Answer 12

yup

Answer 13

And you know that Ac is twice AB, right?

Answer 14

so ab is 47.343 and ac is 94.685?

Answer 15

And you know that BD is AB/sqrt3, right?

Answer 16

yes

Answer 17

And you know that DC is BC-BD, right?

Answer 18

yes

Answer 19

And now you re done because you are trying to find DC

Answer 20

so the answer is 54.7?

Answer 21

That's what I got.

Answer 22

thank you very much,i want to give u a medal but i dont know how to do that

Answer 23

Push the Best Response button.

Answer 24

And you are welcome.

Answer 25

did u get it?

Answer 26

yes. Thank you. You can tell by the number 1 that is beside the little medal icon.

Answer 27

ok,thank u once again!!!

Answer 28

yw