Question

Does each set of numbers form a Pythagorean triple? Explain, 16, 30, 34

Answer 1

It forms a Pythagorean triple

Explanation:

Because the square of 16 + the square of 30 will equal the square of 34,this meets the rule of Pythagorean triple which is the square of a plus the square of b will equal the square of c

Answer 2

Yes

Explanation:

Three numbers form a Pythagorean if and only if the sum of the squares of the smallest two numbers (i.e., the legs of the triangle) equal the square of the largest number (i.e., the hypotenuse).

Thus, we have:

`16^2+30^2=34^2\\256+900=1156\\1156=1156`

Since the sum of the squares of 16 and 30 equal the square of 34, the numbers do indeed form a Pythagorean triple.