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Is 5, 12, 14 a pythagorean triple ? Show why or why not?

User Anconia
by
4.2k points

2 Answers

5 votes

Answer:

No

Explanation:

User David Torres
by
5.0k points
3 votes

Answer:

No

Explanation:

Let's test these values using the Pythagorean Theorem.

a^2+b^2=c^2

where a and b are the legs and c is the hypotenuse.

a and b are the legs, or the shorter sides. 5 and 12 are the shorter sides, so they are a and b.

c is the hypotenuse, or the longest side. 14 is the longest side, so it is c.

5^2+12^2=14^2

Evaluate all the exponents

25+144=196

Add 25 and 144

169=196

169
\\eq196

169 is not equal to 196, so 5, 12 and 14 cannot be a Pythagorean Triple

User David Zagi
by
4.2k points