Question

Which set of line segments could create a right triangle?

5, 6, 11
5, 9, 10
5, 13, 18
5, 12, 13

Answer 1

Do you know the Pythagoras theorem?

Answer 2

\(a^2 + b^2 = c^2\)

Answer 3

not really

Answer 4

Plug in the two smaller numbers into a and b.
Plug in the largest number into c.
If it is a right triangle, the equation will be true.

Answer 5

I'll do the first choice as an example.

Answer 6

\(\color{red}{a}^2 + \color{blue}{b}^2 = \color{green}{c}^2\)
\(\color{red}{5}^2 + \color{blue}{6}^2 = \color{green}{11}^2\)
\(\color{red}{25} + \color{blue}{36} = \color{green}{121}\)
\(61 \ne 121\)
The first choice does not work.

Answer 7

Now do the same for the other choices, and see if one of them works.

Answer 8

okay thanks

Answer 9

You're welcome.

Answer 10

so D will be the answer?

Answer 11

@mathstudent55 ^

Answer 12

nvm