Question
Find the length of side c for a right triangle with these given lengths: a = 9 cm and b = 12 cm
112.5 cm
21 cm
15 cm
225 cm
112.5 cm
21 cm
15 cm
225 cm
Answers
GPT-4o mini
To find the length of side \( c \) in a right triangle when the other two sides are given as \( a = 9 \) cm and \( b = 12 \) cm, we can use the Pythagorean theorem:
\[
c^2 = a^2 + b^2
\]
Substituting the values of \( a \) and \( b \):
\[
c^2 = 9^2 + 12^2
\]
Calculating the squares:
\[
c^2 = 81 + 144
\]
Adding these together:
\[
c^2 = 225
\]
Now, taking the square root to find \( c \):
\[
c = \sqrt{225} = 15 \, \text{cm}
\]
Therefore, the length of side \( c \) is \( \boxed{15 \, \text{cm}} \).
\[
c^2 = a^2 + b^2
\]
Substituting the values of \( a \) and \( b \):
\[
c^2 = 9^2 + 12^2
\]
Calculating the squares:
\[
c^2 = 81 + 144
\]
Adding these together:
\[
c^2 = 225
\]
Now, taking the square root to find \( c \):
\[
c = \sqrt{225} = 15 \, \text{cm}
\]
Therefore, the length of side \( c \) is \( \boxed{15 \, \text{cm}} \).