Question

The above image is a right triangle with side lengths a, b, c
𝑎
,

𝑏
,

𝑐
. The Pythagorean triple (8, 15, 17)
(
8
,

15
,


17
)
represents the side lengths of the given right triangle. Which of the following is the correct value of c
𝑐
?

(1 point)
Responses

c=289
𝑐
=
289
c is equal to 289

c=8
𝑐
=
8
c is equal to 8

c=15
𝑐
=
15
c is equal to 15

c=17

Answer 1

In the Pythagorean triple (8, 15, 17), the side lengths of the right triangle are defined as follows:

- \( a = 8 \)
- \( b = 15 \)
- \( c = 17 \) (where \( c \) is the hypotenuse)

Therefore, the correct value of \( c \) is \( 17 \).

So, the answer is:

**c = 17**