Question

can someone please help & explain this question to me ?
Which of the following are measurements of the sides of a right triangle?
A.10,8,6 B.13,12,5 C.26,24,10 D.all of the above.

Answer 1

Do you know which property is satisfied by all right angled triangles?

Answer 2

like do you mean what all the angles add up to be ?

Answer 3

no - have you heard of the Pythagorus Theorem?

Answer 4

yes i have a^2+b^2=c^2 .

Answer 5

great! that is what you need to use here.
in that equation, 'c' represents the hypotenuse of the triangle - which is the longest side.
so what you need to do is to check which of the triples A, B, or C satisfy this equation.

Answer 6

so start with A, does this equation hold true?\[8^2+6^2=10^2\]

Answer 7

yes

Answer 8

good, now try the same check with the triples in B and C

Answer 9

oH ! okay so now i get it ! it wasnt so hard after all ! thanks a million ! (:

Answer 10

yw :)

Answer 11

BTW: what answer did you get?

Answer 12

i got answer 'A' ! b and c were really weird answers .

Answer 13

please double check your work - remember 'c' represents the longest side, so the equations you need to check are:\[12^2+5^2=13^2\]and:\[10^2+24^2=26^2\]

Answer 14

wait im confused right now .

Answer 15

in what part are you confused?

Answer 16

like im working out the equation and like no of them seem to work

Answer 17

ok, lets take the triples in B first, which were 12, 5 and 13
now what is \(12^2\)?

Answer 18

144

Answer 19

correct, and what is \(5^2\)?

Answer 20

25

Answer 21

correct again, so we get:\[12^2+5^2=144+25=169\]does this equal \(13^2\)?

Answer 22

yes it does

Answer 23

good, so now we know that both A and B satisfy the Pythagorus Theorem.
now lets try the triples in C which were: 10, 24 and 26.
what is \(10^2+24^2\)?

Answer 24

100

Answer 25

soo its all of them ?

Answer 26

yes :)

Answer 27

a time saving trick you can use with these triples is to first divide all the triples with any common factors that they may have

Answer 28

e.g. In A) 10, 8 and 6 can all be divided by 2, so we end up with: 5, 4 and 3
which means we just need to check if:\[3^2+4^2=5^2\]

Answer 29

ooo okay i will be sure to use that from now on ! now i really get it, i was using the wrong numbers the first time !

Answer 30

ok good - well done! :)

Answer 31

again THANK YOU !(:

Answer 32

again - yw :)