Question

Can someone help with this? (find the length)

Answer 1

You know BD is 10 and BC is 6

Answer 2

use pythagorean theorem

Answer 3

You cannot find AD unless AD is also a tangent. Talk to you teacher and verify if the question is correct or not.

Answer 4

I dont have a teacher that can help with this. haha

Answer 5

so we can use pythagorean theorem?

Answer 6

i used pyth. theorem and i still got an incorrect answer.

Answer 7

give it a try.... :)

Answer 8

@ganeshie8 wrote "You cannot find AD unless AD is also a tangent. Talk to you teacher and verify if the question is correct or not."
Why not?
BCD is a right triangle. ACD is a right triangle. AB = CD = radius.
Use Pythagoras theorem twice.

Answer 9

??? o: How would i set that up twice?? o:

Answer 10

ohh yes !!! we can find AD i completely missed that :\

Answer 11

So how do we do that? o:

Answer 12

so its 6^2+10^2

Answer 13

Triangle BCD is a right triangle with leg BC= 6, hyp BD = 10, leg CD = unknown.
Use the Pythaagoras theorem to get CD.

Answer 14

136

Answer 15

you square root that

Answer 16

Once you have CD, look at right triangle ACD with leg CD already known, leg AC = 2AB = 12, and hyp AD unknown. Use the Pythagors theorem to find AD.

Answer 17

2^2+12^2= like that?

Answer 18

148

Answer 19

No.
BC^2 + CD^2 = BD^2
6^2 + CD^2 = 10^2
CD^2 = 100 - 36 = 64
CD = 8

Answer 20

ok??

Answer 21

im lost..

Answer 22

6^2+10^2=10^2
6^2+10^2=10^2
10^2=100-36=64

Answer 23

@ashleyvee
I'll explain it to you. Just follow along and answer my questions. Ok?

Answer 24

ok..

Answer 25

Because CD is a tangent, BC and CD are perpendicular.

Answer 26

k

Answer 27

That means triangle BCD is a right triangle.

Answer 28

k

Answer 29

AC is a diameter that includes BC, so AC is also perpendicular to CD. So traingle ACD is also a right triangle.

Answer 30

AB is a raduis and BC is a radius. All radii in a circle are congruent, so AB = BC = 6

Answer 31

my answer is 4 square root 13. thanks for trying i guess.

Answer 32

That's correct.

Answer 33

The tangent to a circle always forms a right triangle with the radius which means angle
ACD = BCD = 90 degrees = right angle. Applying the pythagorean theorem gives us side CD because we already know that BC = radius = 6:

Now we observe that we can follow through and solve this problem using a number of ways but the best way would be to apply pythagorean theorem. We know AC = AB + BC = 12 and CD = 8, apply the pythagorean theorem and solve for AD.

@ashleyvee