Answered

Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Get detailed answers to your questions from a community of experts dedicated to providing accurate information. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Which equation can be used to find [tex]\( x \)[/tex], the length of the hypotenuse of the right triangle?

A. [tex]\( 18 + 24 = x \)[/tex]
B. [tex]\( 18^2 + 24 = x \)[/tex]
C. [tex]\( (18 + 24)^2 = x^2 \)[/tex]
D. [tex]\( 18^2 + 24^2 = x^2 \)[/tex]

Sagot :

GinnyAnswer
To find the length of the hypotenuse, [tex]\( x \)[/tex], of a right triangle with legs of length 18 and 24, we use the Pythagorean theorem. The Pythagorean theorem states:

[tex]\[ a^2 + b^2 = c^2 \][/tex]

where [tex]\( a \)[/tex] and [tex]\( b \)[/tex] are the lengths of the legs of the triangle, and [tex]\( c \)[/tex] is the length of the hypotenuse.

In this problem, given:
- [tex]\( a = 18 \)[/tex]
- [tex]\( b = 24 \)[/tex]

We substitute these values into the Pythagorean theorem to find [tex]\( x \)[/tex]:

[tex]\[ 18^2 + 24^2 = x^2 \][/tex]

The correct equation is:

[tex]\[ 18^2 + 24^2 = x^2 \][/tex]

Therefore, the correct answer is:

[tex]\[ 18^2 + 24^2 = x^2 \][/tex]
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.