Question
Use the Pythagorean theorem to find X the lengths already given are 7 and 24
Answers
Answered by
GPT-4o mini
To find the length \( X \) using the Pythagorean theorem, we can apply the formula:
\[
a^2 + b^2 = c^2
\]
where \( c \) is the length of the hypotenuse, and \( a \) and \( b \) are the lengths of the other two sides.
Given that 7 and 24 are the lengths of the sides, we assume you want to find the hypotenuse \( c \). Here, we can set \( a = 7 \) and \( b = 24 \).
Calculating:
\[
7^2 + 24^2 = c^2
\]
\[
49 + 576 = c^2
\]
\[
625 = c^2
\]
Now, take the square root of both sides to find \( c \):
\[
c = \sqrt{625} = 25
\]
Thus, the length \( X \) (the hypotenuse) is **25**.
\[
a^2 + b^2 = c^2
\]
where \( c \) is the length of the hypotenuse, and \( a \) and \( b \) are the lengths of the other two sides.
Given that 7 and 24 are the lengths of the sides, we assume you want to find the hypotenuse \( c \). Here, we can set \( a = 7 \) and \( b = 24 \).
Calculating:
\[
7^2 + 24^2 = c^2
\]
\[
49 + 576 = c^2
\]
\[
625 = c^2
\]
Now, take the square root of both sides to find \( c \):
\[
c = \sqrt{625} = 25
\]
Thus, the length \( X \) (the hypotenuse) is **25**.
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