Kirstie is testing values that would make triangle klm a right triangle when ln is an altitude, and km = 16, as shown below. which lengths would make triangle klm a right triangle? 1) lm = 13 and kn = 6 2) lm = 12 and nm = 9 3) kl = 11 and kn = 7 4) ln = 8 and nm = 10

The Pythagorean Theorem is one that proves a right triangle is truly a right triangle. By plugging in our sides, we can determine whether or not a triangle is a right triangle. We know that the pythagorean theorem is written as follows: 

+  = 

After drawing the representation of the triangle, and using side km = 16, we can use the process of elimination to determine which answer choice will give us a balanced equation (both sides of the equation are equal to each other). When we plug lm = 12 and nm = 9 into our equation, we have the following: 

= 9 * 16

144 = 144

So, the lengths that would make triangle klm a right triangle are lm = 12 and nm = 9.