Question

Don't understand how to work out this problem, any help is greatly appreciated

Answer 1

Here's the problem attached

Answer 2

Ik it's small but just zoom in to see it

Answer 3

do you know that the radius \(\perp\) the cord at its middle point?

Answer 4

the radius is perpendicular to the cord at it's middle point? Ok so what exactly is the cord again?

Answer 5

hence, if AB =19.2 , then you can apply pythagorean to get x, right?

Answer 6

would be 9.6^2+x^2=?

Answer 7

=12^2

Answer 8

how did you get 12^2?

Answer 9

diameter =24 --> radius =12

Answer 10

Okay so it would be 9.6^2+x^2=12^2?

Answer 11

yup

Answer 12

Cool Thanks mind helping with a few more?

Answer 13

not sure but if i can, i will
but Mersi here, she is the best in geometry, not worry :)

Answer 14

thanks appreciate it

Answer 15

so how did you get 19.2 when it only said 16 on that last problem?

Answer 16

don't get what you mean

Answer 17

19.2 is given, I don't get it from anywhere

Answer 18

oh yeah my bad XD

Answer 19

And what is the "last problem"? I saw just only 1 problem

Answer 20

Here it is

Answer 21

hey, it is exactly the same, just diameter =16 and the chord = 25.6

Answer 22

so the diameter isn't longer than 16?

Answer 23

nope, exactly 16 --> radius =8

Answer 24

hold on

Answer 25

awesome

Answer 26

it can be radius =16, let me check

Answer 27

Yes, in this case, it is radius =16

Answer 28

So the diameter is 32 right

Answer 29

how can we know? we know it because the radius is the hypotenuse in the right triangle, and it MUST be longer than the leg which is \(\dfrac{25.6}{2}=12.8\)

Answer 30

okay I get it

Answer 31

if it is 8, we don't have hypotenuse > the leg
That is the way to check in the case they give us an ambiguous information

Answer 32

Cool I don't wanna bug you so can you help with this 1 last problem?

Answer 33

we have formula to find it out, the ratio :
\(\dfrac{AB}{AD}=\dfrac{AC}{AE}\) only one term you don't know is AD, quite easy, right?