Summary
Summary Solutions of Triangles
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Handwritten cheat sheet on Solutions of Triangles from jee 2020 topper
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Golution cfof TsianglesGum of_length of 2 sides is
the tixd
DiF. of tao sides is smallea han the gr
Ax oF A A is A 2 Bagex Height
Sine ule
d
Sin A
- b = c C
sinB SinC
= 2R| Chexe Ris cireum
ndius)
Ar oF tiangle Lhe siok ;acsinB= labsinc
2 2
a=KainA b=ksinB ceksinC
Cosine arule
2bc 2ac
)cosC= atb-c
2ab
Fo
Gin CB+c)
bojechon foxmulae A
ang AABC
)a=bCosC t cCOSB
hac cosA tacosC
a) c=aCOSB + bCOSA P
Ans side is equal to sum oF projechion of
LoHHex 2 sides. This is appicable of abtuse A
, *Napier's Analogy CTangert Rule)
b+c
tan A-B- ah
atb cot
t Hat Angle Foxmelae
sin4-s-h)5-Q S= atbtc
2.
I) Sin2B (sc)(S-a)
Ca
) sinc ls-alls-h)
2 ab
sls-a)
cosAsbc
2 ca
) cosc/siG
ab2
=szals-b)
2 S(S-b)
(G-a)lG-)
ton As. of A =Nssa)s-s-c
Hexon's fomulae A
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