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OpenStudy (annalee607):
Assume the lines that appear to be tangent are tangent. O is the center of the circle. Find the value of X .
M
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OpenStudy (annalee607):
hartnn (hartnn):
since tangent and radius are perpendicular to each other,
angle Q = 90 degrees.
does that give you a hint?
hartnn (hartnn):
sum of all angles in a triangle = 180 degrees
OpenStudy (annalee607):
12+90=102
180-102=78
hartnn (hartnn):
good!
\(\huge \checkmark \)
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OpenStudy (annalee607):
Can you help me with another
hartnn (hartnn):
sure
OpenStudy (annalee607):
hartnn (hartnn):
can you screenshot your question? i don't seem to be able to open that docx file.
OpenStudy (annalee607):
AB is tangent to Oo. If AO =24 and BC=50 , what is AB
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OpenStudy (annalee607):
hartnn (hartnn):
do you know about pythagoras theorem?
OpenStudy (annalee607):
no
hartnn (hartnn):
since AO and CO are both radius,
they both will be equal.
AO = CO = ..
and wo could have BO = BO + BC = ...
hartnn (hartnn):
I meant
BO = BC +CO
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OpenStudy (anonymous):
|dw:1463253088310:dw|
OpenStudy (annalee607):
70
hartnn (hartnn):
AO=CO = 24
BC = BC + CO = 74
By Pythagoras theorem,
as tangent is perpendicular to radius,
\(AB^2+ AO^2 = BO^2 \)
\(x^2 + 24^2 = 74^2\)
find x
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