What is the length of AP?
1) 10
2) 12
3) 17
4) 24

Answer:
4) 24
Step-by-step explanation:
OA = OB = 7 ( radius )
OP = OB + BP
= 7 + 18
OP = 25
In triangle OPB,
By Pythagoras theorem,
( OP )² = ( OA )² + ( AP )²
( AP )² = ( OP )² - ( OA )²
= 25² - 7²
= 625 - 49
( AP )² = 576
AP = 24
Answer:
your answer will be 24
Step-by-step explanation:
∠OAP=90°
OA=OB=7
[tex]OA^{2} +Ap^{2} =OP^{2} \\\\7^{2} +Ap^{2} =(7+18)^{2} \\\\Ap^{2} =25^{2} -7^{2} =576\\\\AP=\sqrt{576} =24\\\\Ap=24[/tex]
hope it helps
have a great day!!