Mathematics
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OpenStudy (anonymous):
Will give medal! Please help, 1 question!
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OpenStudy (anonymous):
OpenStudy (anonymous):
Well a^2+b^2=c^2
OpenStudy (anonymous):
but there are only 2 numbers?
OpenStudy (anonymous):
@ranga
OpenStudy (ranga):
Use the same similar triangle principle as the previous one we did.
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OpenStudy (ranga):
|dw:1391465929405:dw|
OpenStudy (ranga):
Triangles DBC and DAB are similar.
DB/DA = DC/DB
x/32 = 18/x
solve for x.
OpenStudy (anonymous):
576?
OpenStudy (ranga):
x^2 = 576
x = sqrt(576) = ?
OpenStudy (anonymous):
24
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OpenStudy (ranga):
yes.
OpenStudy (anonymous):
x=24
OpenStudy (anonymous):
ok so first part a x=24
OpenStudy (anonymous):
now part b.
OpenStudy (ranga):
In triangle ADB, use Pythagorean theorem to solve for AB.
You know AD = 32 and BD = 24. Find AB.
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OpenStudy (anonymous):
i don't know that theorem.
OpenStudy (ranga):
AB^2 = AD^2 + BD^2
OpenStudy (anonymous):
AB^2=32^2=24^2?
OpenStudy (ranga):
AB^2 = 32^2+ 24^2?
OpenStudy (anonymous):
i inserted the numbers?
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OpenStudy (anonymous):
oh wait i meant to put a + sign not a =
OpenStudy (ranga):
That is what I corrected in my reply.
OpenStudy (anonymous):
ok.
OpenStudy (anonymous):
AB^2=1024 + 576?
OpenStudy (ranga):
Yes.
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OpenStudy (anonymous):
now what
OpenStudy (ranga):
add the two numbers and solve for AB.
OpenStudy (anonymous):
AB^2=1600?
OpenStudy (ranga):
yes. But we want AB.
OpenStudy (ranga):
AB = sqrt(1600) = ?
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OpenStudy (anonymous):
40
OpenStudy (anonymous):
AB=40?
OpenStudy (ranga):
yes. That is the answer to part b.
OpenStudy (anonymous):
Thanks!