Answer:
5, 12, 13
Step-by-step explanation:
Look at the first set of side lengths. If these lengths satisfy the Pythagorean Theorem, then we can correctly conclude that they represent a right triangle. Do the lengths 5, 12 and 13 satisfy the Pyth. Thm.?
In other words, does the sum of 5² and 12² equal 13²?
Does 25 + 144 =equal 169? YES. So yes, 5, 12 and 13 do represent a right triangle.
Second case: 4, 4 and 8. Does 16 + 16 equal 64? NO. Not a right triangle.
Third case: 2, 3, 4. Does 4 + 9 = 16? NO. Not a right triangle.
Summary: only 5, 12, 13 represent the side lengths of a right triangle.
