Question

2. Does the set of numbers form a Pythagorean triple? Explain.

12, 9, 15
Choose the correct answer below.
Yes, because the given numbers satisfy the equation a"
Yes, because the given numbers do not satisfy the equation a² + b² = c?.
No, because the given numbers do not satisfy the equation a^2+ b^2= c^2.
No, the given numbers satisfy the equation a^2+ b^2=c^2.

Answer 1

So Pythagorean triples will always work with Pythagoras theorem which is a^2 + b2 = c^2 where c is the hypotenuse. So the biggest number (15) will be the hypotenuse so you must do (9^2) + (12^2) and if it is a triple you will get 15^2 so you do 81 + 144 which is 255 and 15^2 is 255 so therefore it is a Pythagorean triple because the numbers satisfy the equation. Hope this helps :)