Question

Look at the figure shown below.
What is the length of Segment AB to the nearest tenth of a meter?

Answer 1

this problem is not multiple choice; tips?

Answer 2

Since \(\Delta \)ADC is a 30-60-90 triangle, you can find the lengths of AD and DC easily. Using the length of DC, and BC, you can use pythagorean theorem to get the length of DB.

Length DB+AD =AB

Answer 3

k

Answer 4

ehh

Answer 5

AD equals 8.082903769

Answer 6

Side AB is 16.16580754

Answer 7

Am I right so far?

Answer 8

ahhh

Answer 9

Give me minute

Answer 10

there's a shortcut to 30-60-90 right triangles

Answer 11

AD equals 7

Answer 12

and DC equals 7 and the square root of 3

Answer 13

and there you have it

Answer 14

am I right?

Answer 15

So far that looks right. What do you get for DB?

Answer 16

well...

Answer 17

I don't know if triangle CDB is a right triangle :(

Answer 18

I think it is...

Answer 19

IF so, angle C=30...

Answer 20

Wait...

Answer 21

Reflexive property of equality!!!!!!!!!!!!!!!

Answer 22

Angle D=angle D

Answer 23

so angle D=90 degrees

Answer 24

Angle C=30

Answer 25

And angle B=60 degrees

Answer 26

so DB equals 6.5

Answer 27

and DC equals 11.25833025

Answer 28

so AB equals 7+6.5=13.5!!!!!!!!!!!

Answer 29

AD=7 while DB=6.5

Answer 30

Don't worry, still here, just have other things I must do as well.

However, I'm not getting 6.5 as the length for DB.

Answer 31

7+6.5=13.5

Answer 32

You have that BC=13 and DC=\(7\sqrt3\). Using the pythagorean theorem, what should DB be?

Answer 33

wait

Answer 34

By using the reflexive property, angle C=C

Answer 35

By using the reflexive property, angle D=D

Answer 36

Don't even both with that stuff.

Answer 37

and the other angle is 60 degrees

Answer 38

so they are both 30-60-90 right triangles indefinitely

Answer 39

SO DB is 6.5 because it s x

Answer 40

DC is 6.5 and the square root of 3

Answer 41

but DB is 6.5

Answer 42

One, \(\Delta\)BCD is not actually a 30-60-90 triangle.

Two, you're making this far more complicated than it should be. Just use the pythagorean theorem.

Answer 43

right?

Answer 44

k

Answer 45

13 squared= 169

Answer 46

ehh

Answer 47

AD equals 7

Answer 48

DC equals 7 and the square root of 3

Answer 49

so now what?

Answer 50

what numbers should I plug in for Pythagorean Theorem>

Answer 51

Let \(13=c\), \(7\sqrt3=b\), and solve for \(a\) in \[\sqrt{a^2+b^2}=c\]

Answer 52

ok...

Answer 53

because 7 and the square root of 3 share sides, right?

Answer 54

reflexive property of DC?

Answer 55

Because the length of DC is \(7\sqrt3\), and the length of the hypotenuse of \(\Delta\)BCD is 13. And because DC is a leg of that triangle.

Answer 56

kkk

Answer 57

like I said, reflexive property DC

Answer 58

so DB=4.69041576

Answer 59

so the answer is approximately 11.7

Answer 60

right?

Answer 61

Looks right to me.

Answer 62

yeh!!!!!!!!!!!!!!!!!!!!!!

Answer 63

I got quite a few more problems coming uo

Answer 64

Ready for a bunch of medals?

Answer 65

k

Answer 66

Bring it on :P