Question
if u are using the pythagorean-theorem of a missing leg a=? c=13 b=12
Answers
GPT-4o mini
To find the missing leg \( a \) in a right triangle using the Pythagorean theorem, you can use the formula:
\[
c^2 = a^2 + b^2
\]
where \( c \) is the hypotenuse, and \( a \) and \( b \) are the other two legs.
In this case, you have:
- \( c = 13 \)
- \( b = 12 \)
Plugging in these values:
\[
13^2 = a^2 + 12^2
\]
Calculating the squares:
\[
169 = a^2 + 144
\]
Next, isolate \( a^2 \):
\[
a^2 = 169 - 144
\]
\[
a^2 = 25
\]
Now, take the square root of both sides to find \( a \):
\[
a = \sqrt{25} = 5
\]
So, the missing leg \( a \) is \( 5 \).
\[
c^2 = a^2 + b^2
\]
where \( c \) is the hypotenuse, and \( a \) and \( b \) are the other two legs.
In this case, you have:
- \( c = 13 \)
- \( b = 12 \)
Plugging in these values:
\[
13^2 = a^2 + 12^2
\]
Calculating the squares:
\[
169 = a^2 + 144
\]
Next, isolate \( a^2 \):
\[
a^2 = 169 - 144
\]
\[
a^2 = 25
\]
Now, take the square root of both sides to find \( a \):
\[
a = \sqrt{25} = 5
\]
So, the missing leg \( a \) is \( 5 \).