For questions 5 - 6, solve for the remaining angles.
since we don't have any angles we have to use law of cosines pick a side (let's use c i guess) and solve for angle C
c²=a²+b²-2abCos(C)
yup then plug in a, b, c
a=255 b=270 c=442.85
hold on a sec
okay
|dw:1526059303865:dw|
be careful with your labels a = 270 b = 442.85 c = 255
yeah thats where i was confused
just remember that a is across from angle A, b is across from B, etc.
c²=a²+b²-2abCos(C) 225^2=270^2+442.85^2-2*270*442.85 ((Cos(C)
are there supposed to be 2 solutions?
there should only be 1
sometimes software can get a little confused, try solving for cos(x) then take the arcsin of the result
*arccos
0.91
good, then take the arccos of that to get the angle
24.49 degrees
awesome, then repeat the process for one of the other angles (A or B)
a²=b²+c²-2bc Cos(A) 270^2=442.85^2+225^2-2*442.85*225.2 ((Cos(A) 0.87 ----> 0.52(A)
make sure that your calculator/whatever is in degrees mode not radians arccos(0.87) = 29.36 degrees then it's just 180 - angle A - angle C = angle B to find angle B
180-24.49-29.36=126.15 degrees(B)
good, so that's 5 done, repeat the steps for triangle 6
A=15 B=15 C=19
just confirming the sides the rest i will attempt by myself
switch a and c
okay im doing it now will post it once im finished
is this right for C
c²=a²+b²-2abCos(C) 15^2=19^2+15^2-2*19*15 ((Cos(C) arccos(19)---->208.6 degrees ©
cosC = 19/30 not just 19 so arccos(19/30) = ?
50.7
good, now try solving for angle A or angle B using the same method
a²=b²+c²-2bc Cos(A) 19^2=15^2+15^2-2*15*15 ((Cos(A) arccos(361) =
is 361 right?
I got something a little diff cos(A) = 89/450 A = ?
5
what is arccos(89/450) = ?
78.59
that would be for A
good, now we have angle A and C, just gotta solve for angle B and we're done
then: 180-78.59-50.7=50.71
and that would be angle B
good, that's both our triangles solved
Join our real-time social learning platform and learn together with your friends!