Question
Note: Figure is not drawn to scale.
If y = 8 cm and z = 15 cm, what is the length of x?
A.
13 cm
B.
21 cm
C.
17 cm
D.
18 cm
Answers
Answered by
GPT-4o mini
To find the length of \( x \), we can use the relationship between the three sides if they form a right triangle or based on any given geometric relationship.
Given values:
- \( y = 8 \) cm
- \( z = 15 \) cm
Since the problem does not specify a relationship, we can assume this might involve the Pythagorean theorem where \( x \) could represent the hypotenuse or one of the legs in a right triangle setup.
1. If \( y \) and \( z \) are the two legs of a right triangle, then the relationship can be written as:
\[
x^2 = y^2 + z^2
\]
Calculating \( x \):
\[
x^2 = 8^2 + 15^2
\]
\[
x^2 = 64 + 225
\]
\[
x^2 = 289
\]
\[
x = \sqrt{289} = 17 \text{ cm}
\]
Thus, the length of \( x \) is \( 17 \) cm.
The answer is **C. 17 cm**.
Given values:
- \( y = 8 \) cm
- \( z = 15 \) cm
Since the problem does not specify a relationship, we can assume this might involve the Pythagorean theorem where \( x \) could represent the hypotenuse or one of the legs in a right triangle setup.
1. If \( y \) and \( z \) are the two legs of a right triangle, then the relationship can be written as:
\[
x^2 = y^2 + z^2
\]
Calculating \( x \):
\[
x^2 = 8^2 + 15^2
\]
\[
x^2 = 64 + 225
\]
\[
x^2 = 289
\]
\[
x = \sqrt{289} = 17 \text{ cm}
\]
Thus, the length of \( x \) is \( 17 \) cm.
The answer is **C. 17 cm**.
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