Question

which set of numbers could be the lengths of the sides of a right triangle ?
10,24,26
12,16,30
3,4,6
4,7,8

Answer 1

10,24,26

Answer 2

how did you get that ?

Answer 3

can you explain it to me ?

Answer 4

in order to create a triangle, you have to have sides long enough to reach each other

Answer 5

yess continue . I am reading

Answer 6

if we put the longest side for our base; and attach the shorter sides to each end; then the short sides have to at least add up to the longer side

Answer 7

yes that makes sense

Answer 8

okay so in this problem how do I figure it out add all the short sides in the set of numbers ? but none of them equal the longest side ?

Answer 9

IF short + short is greater than long; you can make a triangle

Answer 10

add up the smaller values and see if they are bigger than the large value

Answer 11

the only one the does NOT make a triangle is:

12, 16, 30

12+16 = 28 is less than 30

Answer 12

okay let me try

Answer 13

yes that is right but the other ones are triangles so how do we know that number 1 is a right triangle ?

Answer 14

.... i overlooked the "right" part :)

Answer 15

not to butt in (ok to butt in) the question asks about right triangles

Answer 16

Sorry I should've explained:
Since it's a right triangle you can check for pythagorean triplets

Answer 17

your job is to check that \(a^2+b^2=c^2\) if so, the answer is yes
if not, the answer is no

Answer 18

10,24,26 satisfies that

Answer 19

short^2 + short^2 = long^2 is another way to see it

Answer 20

thank you all so much for your help this was greattt! now I understand how to do this problem !