#Circles chapter 6 question
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im gonna go insane
🤦‍♂️
screw you
,w rotate
dyk the angles subtended by a semicircle theorem
theres no w
not really there’s no example of this question in my book
u got that
thanks
show that the lengths OB OA and AB satisfy a^2 + b^2 = c^2
This will only be true if they are the side lengths of a right angle triangle
use pythag then use 1/2ab
the largest value of those lengths will be c^2
quick sketch will help
do u have to sketch it though
no requirement to
or else they would've asked
it is just general good advice to sketch stuff
i still didn’t get the right answer
when u mean by lengths do u mean find the distance or the gradient of OB for this example
distance
AO^2 = 2^2 + 3^2 = 13
AB^2 = 3^2 + 2^2 = 13
OB^2 = 1^2 + 5^2 = 26
AO^2 + AB^2 = 26
OB^2 = 26
So AO^2 + AB^2 = OB^2, meaning OB is the hypotenuse of a right angle triangle
if you do a sketch then youre less likely to make a mistake with your side lengths