Mathematics
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OpenStudy (anonymous):
Find the area of the triangle with B= 67°, a=11 yd, and c = 24 yd.
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OpenStudy (anonymous):
OpenStudy (jack1):
right angle triangle...?
OpenStudy (anonymous):
thts not what it shows, as far as i know lol
OpenStudy (jack1):
then law of cosines...?
c^2 = a^2 + b^2 -2ab cos y
OpenStudy (jack1):
in this case
a = 11
b = 24
y = 67 degrees
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OpenStudy (jack1):
k if you've never been taught rule of cosines, then you shouldnt be expected to know it
OpenStudy (jack1):
so lets assume its a right angled triangle
use the lenght of AC as the verticle height
and the length of CB as the base
OpenStudy (jack1):
so Area of triangle = 1/2 x base x vertical height
OpenStudy (jack1):
use pythag theorum to work out length AC
\[h^2 = a^2 + b^2 \]
OpenStudy (jack1):
u ok with all of that ash?
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OpenStudy (anonymous):
um..yes?
OpenStudy (jack1):
cool, cya then
OpenStudy (anonymous):
O.O ok
OpenStudy (jack1):
ok... well, what did u get for the length AC?
OpenStudy (jack1):
h^2 = a^2 + b^2
24^2 = 11^2 + AC^2
...
so
576 = 121 + AC^2
AC^2 = 455
so
AC = sqrt 455
= approx 21.3 ish
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OpenStudy (jack1):
|dw:1372168080239:dw|
OpenStudy (jack1):
u doin ok there ash?
need me to elaborate on anything so far?
OpenStudy (anonymous):
i jus need to find the area lool
OpenStudy (jack1):
so Area of triangle = 1/2 x base x vertical height
= 0.5 x 11 x 21.3
= ...?
OpenStudy (jack1):
=...? @ashleighgirl
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OpenStudy (anonymous):
117.15
OpenStudy (jack1):
spot on!
OpenStudy (jack1):
slaters ;D
OpenStudy (anonymous):
^~^
OpenStudy (anonymous):
none of those were my answers..
a) 121.5 yd²
b) 243 yd²
c) 51.8 yd²d
d) 103.2 yd²
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OpenStudy (jack1):
area = ab sinC/2 then
OpenStudy (jack1):
= 121.51 yd^2
OpenStudy (jack1):
note to self, it wasnt a right angled triangle then ;(
OpenStudy (anonymous):
awe...
</3
OpenStudy (jack1):
awwww, im sorry
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OpenStudy (anonymous):
tiz okay
OpenStudy (jack1):
k then love u bye!
OpenStudy (anonymous):
^~^