Question
Finding the missing side of the right triangle.
side one is 48 and side two is 55
side one is 48 and side two is 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, which states:
\[ a^2 + b^2 = c^2 \]
where \( c \) is the hypotenuse (the longest side), and \( a \) and \( b \) are the other two sides.
In your case, to find the hypotenuse:
Let \( a = 48 \) and \( b = 55 \).
Now, plug the values into the Pythagorean theorem:
\[
48^2 + 55^2 = c^2
\]
Calculating the squares:
\[
48^2 = 2304
\]
\[
55^2 = 3025
\]
Now add these values:
\[
2304 + 3025 = 5329
\]
Now, take the square root to find \( c \):
\[
c = \sqrt{5329} = 73
\]
Thus, the length of the hypotenuse is 73.
\[ a^2 + b^2 = c^2 \]
where \( c \) is the hypotenuse (the longest side), and \( a \) and \( b \) are the other two sides.
In your case, to find the hypotenuse:
Let \( a = 48 \) and \( b = 55 \).
Now, plug the values into the Pythagorean theorem:
\[
48^2 + 55^2 = c^2
\]
Calculating the squares:
\[
48^2 = 2304
\]
\[
55^2 = 3025
\]
Now add these values:
\[
2304 + 3025 = 5329
\]
Now, take the square root to find \( c \):
\[
c = \sqrt{5329} = 73
\]
Thus, the length of the hypotenuse is 73.