Which of these four sets of side lengths will form a right triangle? Set 1
10 cm, 26 cm, 24 cm

Set 2
4 in., 2 in., 6 in.

Set 3
14 mm, 13 mm, 15 mm

Set 4
10 ft, 30 ft, 20 ft

Set 1
Set 2
Set 3
Set 4

Set 1    Yes

Set 2    No

Set 3 and Set 4   ???

Step-by-step explanation:

Use the converse of the Pythagorean theorem.   Square the lengths and see if 2 results add up to the third result.

So, Set 1

      100 + 576 = 676  Therefore we have a right triangle

Set 2

16 + 4 ≠  36   Therefore we do NOT have a right triangle

I will let you do Set 3 and Set 4.  OK?