Question

Which set of line segments with the given lengths can be formed into a right triangle?

five, six, eleven

five, nine, ten

five, thirteen, eighteen

five, twelve, thirteen

Answer 1

Let's say we have a triangle with sides of a,b,c where c is the longest side.

If a^2 + b^2 = c^2 is true, then we have a right triangle

Answer 2

For example, if you have a triangle with sides 3,4,5, then we have

a^2 + b^2 = c^2

3^2 + 4^2 = 5^2

9 + 16 = 25

25 = 25

that shows us the triangle with sides 3,4,5 is a right triangle