Summary
Summary - Mayhematics
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Summary of 2 pages for the course Mayhematics at (Study well)
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WhatisthePy
thagor
as'
Theor
em?|
Don'
tMemor
ise
I
nfi
nit
yLear
nCl
ass9&10
Py
thagor
asTheor
em
ThePy t
hagor astheorem i
sanessent i
alconceptinmat hemati
cs,part
icularl
yintri
angl
es.To
under
standi t
, weneedt oconsiderari
ghttri
angle,whichisatri
anglewithoneangl easaright
angl
e.Thesi deopposi t
etherightangl
eiscalledthehy pot
enuse,andthistheorem st
atesthat
thehypotenusehasaspeci alrelat
ionwit
htheot hertwosides.Specif
ical
ly,i
ttell
susthatthe
squar
eoft hehy potenuseisequal t
othesum oft hesquaresoftheothert wosides.
Foranyr
ightt
ri
angl
ewi
thsi
del
engt
hsa,
b,andc,
wher
eci
sthehy
pot
enuse,
wecansayt
hat
:
c^
2=a^
2+b^
2
Thist
heorem hasnumer
ousappl
icat
ions,
asitall
owsust
ocalcul
atet
hel
engt
hofonesi
deofa
ri
ghtt
riangl
ewhenweknowthelengthoftheothert
wosi
des.
Exampl
e:
Zarawantstobuil
dar ampl eadingfr
om thegr
oundtothebackporch,whichisthr
eefeetof
fthe
ground.Duetobui
ldi
ngr egulati
ons,t
herampmuststartsev
enfeetawayf rom t
hebaseofthe
porch.Usi
ngthePythagorast heor
em, wecancal
cul
atethel
engt
hoft herampasf oll
ows:
Lengt
hofr
amp=√(
3^2+7^
2)
Lengt
hofr
amp=√58
Lengt
hofr
amp≈7.
62f
eet
Howwoul
dyour
atet
hissummar
y?
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