Question
Finding the missing side of the right triangle.
side one is 48 and side two 55
side one is 48 and side two 55
Answers
GPT-4o mini
To find the missing side of a right triangle when you have the lengths of the two other sides, you can use the Pythagorean theorem. The Pythagorean theorem states that:
\[
c^2 = a^2 + b^2
\]
where \(c\) is the length of the hypotenuse and \(a\) and \(b\) are the lengths of the other two sides.
In this case, if we let \(a = 48\) and \(b = 55\), we can find \(c\) (the hypotenuse):
\[
c^2 = 48^2 + 55^2
\]
Calculating each part:
\[
48^2 = 2304
\]
\[
55^2 = 3025
\]
Now, add these two results:
\[
c^2 = 2304 + 3025 = 5329
\]
Now take the square root to find \(c\):
\[
c = \sqrt{5329} \approx 73
\]
Thus, the length of the hypotenuse \(c\) is approximately 73.
\[
c^2 = a^2 + b^2
\]
where \(c\) is the length of the hypotenuse and \(a\) and \(b\) are the lengths of the other two sides.
In this case, if we let \(a = 48\) and \(b = 55\), we can find \(c\) (the hypotenuse):
\[
c^2 = 48^2 + 55^2
\]
Calculating each part:
\[
48^2 = 2304
\]
\[
55^2 = 3025
\]
Now, add these two results:
\[
c^2 = 2304 + 3025 = 5329
\]
Now take the square root to find \(c\):
\[
c = \sqrt{5329} \approx 73
\]
Thus, the length of the hypotenuse \(c\) is approximately 73.