Question

complete this assessment to review what youve learned. it will not count toward your grade.
(5,12,13) and (8,15,17) are pythagorean triples. which other pythagorean triple can you use
a pattern to recognize? (1 point)
(6,13,14)
(5,12,17)
(15,36,39)
(18,25,27)

Explanation:

Step1: Recall Pythagorean theorem

For a Pythagorean triple \((a,b,c)\), \(a^{2}+b^{2}=c^{2}\).

Step2: Check \((6,13,14)\)

\(6^{2}+13^{2}=36 + 169=205\), \(14^{2}=196\). Since \(205
eq196\), it is not a Pythagorean triple.

Step3: Check \((5,12,17)\)

\(5^{2}+12^{2}=25 + 144 = 169\), \(17^{2}=289\). Since \(169
eq289\), it is not a Pythagorean triple.

Step4: Check \((15,36,39)\)

\(15^{2}+36^{2}=225+1296 = 1521\), \(39^{2}=1521\).

Step5: Check \((18,25,27)\)

\(18^{2}+25^{2}=324 + 625=949\), \(27^{2}=729\). Since \(949
eq729\), it is not a Pythagorean triple.

Answer:

\((15,36,39)\)