Question
find x 12ft 13ft x x = blank feet
Answers
Answered by
GPT-4o mini
It looks like you're dealing with a right triangle, where the two sides are 12 feet and 13 feet. To find the length of the hypotenuse (x), you can use the Pythagorean theorem:
\[
a^2 + b^2 = c^2
\]
where \(a\) and \(b\) are the lengths of the two legs, and \(c\) is the length of the hypotenuse.
In your case:
- \(a = 12 \, \text{ft}\)
- \(b = 13 \, \text{ft}\)
Plugging in these values:
\[
12^2 + 13^2 = x^2
\]
Calculating the squares:
\[
144 + 169 = x^2
\]
Adding the two values:
\[
313 = x^2
\]
Now, take the square root of both sides to find \(x\):
\[
x = \sqrt{313} \approx 17.69 \, \text{ft}
\]
So, the value of \(x\) is approximately **17.69 feet**.
\[
a^2 + b^2 = c^2
\]
where \(a\) and \(b\) are the lengths of the two legs, and \(c\) is the length of the hypotenuse.
In your case:
- \(a = 12 \, \text{ft}\)
- \(b = 13 \, \text{ft}\)
Plugging in these values:
\[
12^2 + 13^2 = x^2
\]
Calculating the squares:
\[
144 + 169 = x^2
\]
Adding the two values:
\[
313 = x^2
\]
Now, take the square root of both sides to find \(x\):
\[
x = \sqrt{313} \approx 17.69 \, \text{ft}
\]
So, the value of \(x\) is approximately **17.69 feet**.