Question 597439
<pre>
We check each to see if the Pythagorean equation is true or false:

{{{(matrix(2,1,shortest, side))^2}}} + {{{(matrix(3,1,middle,size, si
de))^2}}} = {{{(matrix(2,1,longest, side))^2}}}

	A.	2 cm, 5 cm, 7 cm

2² + 5² = 7²
 4 + 25 = 49
     29 = 49

False, so A is not the correct choice

	B.	9 cm, 14 cm, 17 cm

9² + 14² = 17²
81 + 196 = 289
     277 = 289

False, so B is not the correct choice


	C.	7 cm, 17 cm, 24 cm

7² + 17² = 24²
49 + 289 = 576
     338 = 576

False, so C is not the correct choice


	D.	5 cm, 12 cm, 13 cm

5² + 12² = 13²
25 + 144 = 169
     169 = 169

True, so D is the correct choice

Edwin</pre>