#Circles - 9th grade, solving distance and proving (Solution given)

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bold bone
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The solution is given! But I cant seem to understand how it's done can somebody help me with this? 😭

tacit summit
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so the radius is 10 cm, which means that you know the distance from OA, OB and OC, which are all 10cm

E is the midpoint of A and b, and to find OE, you need to use Pythagoras. we know two sides, one is the radius (OB) and the other is BE. In the mark scheme, OE is 8cm

then you can use OE to find the area of OAB, which is 1/2 x b x h which is 48cm

since all 3 sides of OAB are the same as OBC, they are the same triangle

if you redefine the area of OAB by making AD the height and OB the length

we dont know what AD is, so we will leave it as AD. The area is 5 x ad and we know it multiplies to 48, so 48/5 = 9.6.

we then times ad x 2 to get AB, and that is 19.2cm

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hope that helps

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@bold bone