Question

Geometry help? Will give medal!
Look at the position of three basketball players on a court.



Which statement is true? (5 points)

The distance between Player B and Player C is more than the distance between Player A and Player B.
The distance between Player B and Player C is equal to the distance between Player A and Player C.
The distance between Player A and Player C is less than the distance between Player A and Player B.
The distance between Player A and Player C is equal to the distance between Player A and Player B.

Answer 1

The greater angle is, the greater the length of opposite side.

Answer 2

So B?

Answer 3

No, the corresponding angle for BC is 50*, which is not equal to the corresponding angle for AC, which is 60*.

Answer 4

Which angle is the biggest?

Answer 5

Angle C

Answer 6

Right. Which line is it pointing to?

Answer 7

BC or AC

Answer 8

Actually, it is pointing to BA.

Answer 9

Oh. I dont understand what that means. Could you please explain?

Answer 10

Side opposite of angle C is AB. Since angle C is biggest angle, AB is biggest side.

Answer 11

You see, Angle C is connected to lines AC and BC. Line BA is the only line that isn't connected to it, so it is the corresponding line to angle C.

Answer 12

I understand that part I just dont understand how that goes along with the answers above. How do you know which lines are greater,less, or equal to another line?

Answer 13

The longest lines will have the largest corresponding angle.

Answer 14

So the largest line here would be BC?

Answer 15

No, it would be BA. BA's corresponding angle is angle C, which is the largest angle. Therefore, BA is the longest line.

Answer 16

Oh, I understand now. So the answer would be C?

Answer 17

Yes! You got it!

Answer 18

Great. :) Thank you!

Answer 19

You're welcome!