Question

Which of these four sets of side lengths will form a right triangle?

Answer 1

Answer:

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

$10^{2} = 100 \\26^{2} = 676\\24^{2} = 576$       100 + 576 = 676  Therefore we have a right triangle

Set 2

$4^{2} = 16\\2^{2} = 4\\6^{2} = 36$

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

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

Answer 2

set 1 is the answer ............................................................