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Mathematics 24 Online
OpenStudy (devonhoward15):

Which set of three numbers could represent the lengths of the sides of a right triangle? A.7,24,25 B.8,9,10 C.9,11,14 D.15,18,21

OpenStudy (devonhoward15):

@AloneS

OpenStudy (bannana43):

i would say A but i am not sure i will check for you give me a sec.

OpenStudy (anonymous):

given sides a,b,c such that a<c and b<c , what is the property that tells you if the triangle is right angled ??

rebeccaxhawaii (rebeccaxhawaii):

@bannana43 please refrain from giving out direct answers - please explain and then let the person with the question answer - this just ensures they understand

OpenStudy (bannana43):

sorry about that

OpenStudy (devonhoward15):

is < less than?

OpenStudy (anonymous):

yes

OpenStudy (devonhoward15):

so a is lees than b which is less than c?

OpenStudy (devonhoward15):

*less

OpenStudy (anonymous):

No... a is less than c and b is less than c

OpenStudy (devonhoward15):

so a can be bigger than b?

OpenStudy (anonymous):

yes

OpenStudy (devonhoward15):

ok but here in this case there all smaller

OpenStudy (anonymous):

let me explain... here a=7, b=24, c=25... the property i was referring to was for given a,b,c such that a<c and b<c, a triangle is called a right angled triangle if \[a^2 + b^2 = c^2\]

OpenStudy (devonhoward15):

ok so i think its a... cause 7x7=49 and 24x24=576 and when you add them they equal 625 which is what 25x25 equals

OpenStudy (devonhoward15):

@xavier123

OpenStudy (devonhoward15):

am i right?

OpenStudy (anonymous):

yes... this is called Pythagorean theorem and the values that satisfy this property are called Pythagorean triplets. other examples could be (3,4,5) and (5,12,13)

OpenStudy (bannana43):

i think so

OpenStudy (devonhoward15):

thanks

OpenStudy (bannana43):

np, i send you message

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