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Step-by-step explanation:
Firstly,
Calculate the length of AC by dividing the length of AB by 2
Secondly,
In triangle AOC
find the length of hypotenuse AO
Thirdly,
Multiply the length of AO by 2 to find the length of AD
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applying Pythagoras theorem
15²+8²=AO²
225+64=AO²
√289=AO
AO=17
AD=2×17=34
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