Question

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

Answer 1

4) 24

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 2

your answer will be 24

Explanation:

∠OAP=90°

OA=OB=7

`OA^(2) +Ap^(2) =OP^(2) \\\\7^(2) +Ap^(2) =(7+18)^(2) \\\\Ap^(2) =25^(2) -7^(2) =576\\\\AP=√(576) =24\\\\Ap=24`

hope it helps

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