Question 411076
If a triangle has sides 5, 12, 13, it is a right triangle since {{{5^2 + 12^2 = 13^2}}}.


For the other five problems, use the Pythagorean theorem: {{{a^2 + b^2 = c^2}}} where c is the hypotenuse and a,b are the lengths. I'll let you do these problems with the hint I've provided. If one of your provided lengths is the hypotenuse you'll have to rearrange the variables, i.e. {{{a^2 = c^2 - b^2}}}, etc.