Mathematics
14 Online
OpenStudy (anonymous):
(a) Show that the triangle ABC is a right triangle by using the converse of the Pythagorean Theorem.
d(A, B) =
d(B, C) =
d(A, C) =
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OpenStudy (anonymous):
OpenStudy (anonymous):
(b) Find the area of triangle ABC.
OpenStudy (aripotta):
omg. you have to use the distance formula to find the length of the sides first. omg.
OpenStudy (aripotta):
lengthy process my friend.
OpenStudy (aripotta):
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OpenStudy (aripotta):
tis the distance formuler.
OpenStudy (anonymous):
what did u find for the distance of the sides? I wanna check my answers
OpenStudy (aripotta):
sigh. lemme do em real quick
OpenStudy (anonymous):
a-b =3.64
OpenStudy (aripotta):
you mean AB?
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OpenStudy (anonymous):
yes
OpenStudy (anonymous):
BC= 6.18
OpenStudy (anonymous):
and CA is 3.64
OpenStudy (aripotta):
i got different lengths :/
OpenStudy (anonymous):
what did u get
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OpenStudy (aripotta):
AB = 3.2, BC = 6.3, and AC = 7
OpenStudy (anonymous):
oh my bad i made an error and said for b that it was (8,3.5) should be (8,4)
OpenStudy (anonymous):
okay so what is the answer to this problem
OpenStudy (aripotta):
well, you have to see if 3.2^2 + 6.3^2 really does equal 7^2
OpenStudy (anonymous):
~49.93
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OpenStudy (aripotta):
since the Pythagorean theorem is a^2 + b^2 = c^2
OpenStudy (anonymous):
49.93 doesnt equal 49
OpenStudy (aripotta):
well, we did round :/ so i'm not sure
OpenStudy (anonymous):
so what is d(A, B)
OpenStudy (anonymous):
please express the answers without rounding
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OpenStudy (aripotta):
ummm ok.
OpenStudy (anonymous):
thanks
OpenStudy (aripotta):
ab = 3.16227766017
bc = 6.32455532034
ac = 7.07106781187
OpenStudy (aripotta):
i would say that yes. it is a right angle