Question

Given that (5,12,13)
(
5
,
12
,
13
)
is a Pythagorean triple, identify another example of a Pythagorean triple from the following.(1 point)
Responses

(25,60,39)
(
25
,
60
,
39
)
left parenthesis 25 comma 60 comma 39 right parenthesis

(50,120,130)
(
50
,
120
,
130
)
left parenthesis 50 comma 120 comma 130 right parenthesis

(15,25,39)
(
15
,
25
,
39
)
left parenthesis 15 comma 25 comma 39 right parenthesis

Answer 1

To identify another Pythagorean triple from the given options, we can use the definition of a Pythagorean triple: a set of three positive integers \(a\), \(b\), and \(c\), such that \(a^2 + b^2 = c^2\).

Let's check each option:

1. **(25, 60, 39)**:
- \(25^2 + 60^2 = 625 + 3600 = 4225\)
- \(39^2 = 1521\)
- Since \(4225 \neq 1521\), this is **not** a Pythagorean triple.

2. **(50, 120, 130)**:
- \(50^2 + 120^2 = 2500 + 14400 = 16900\)
- \(130^2 = 16900\)
- Since \(16900 = 16900\), this is a **Pythagorean triple**.

3. **(15, 25, 39)**:
- \(15^2 + 25^2 = 225 + 625 = 850\)
- \(39^2 = 1521\)
- Since \(850 \neq 1521\), this is **not** a Pythagorean triple.

Therefore, the answer is **(50, 120, 130)**.