Question
what is the length of the missing leg if necessary round to the nearest tenth 15 in 17 in what does b =
Answers
GPT-4o mini
To find the length of the missing leg in a right triangle, you can use the Pythagorean theorem, which states:
\[ a^2 + b^2 = c^2 \]
where:
- \( c \) is the length of the hypotenuse
- \( a \) and \( b \) are the lengths of the other two legs of the triangle.
From your question, it seems you have the lengths of two legs (15 in and 17 in) and are looking to find the length of the missing leg \( b \).
Assuming 17 in is the hypotenuse (if it's not, let me know), you can rearrange the formula to solve for the missing leg \( b \):
1. Set \( a = 15 \) in and \( c = 17 \) in.
2. Plug the values into the Pythagorean theorem:
\[
15^2 + b^2 = 17^2
\]
\[
225 + b^2 = 289
\]
3. Subtract 225 from both sides:
\[
b^2 = 289 - 225
\]
\[
b^2 = 64
\]
4. Take the square root of both sides:
\[
b = \sqrt{64} = 8
\]
So, the length of the missing leg \( b \) is 8 inches.
If 17 in is not the hypotenuse and instead it is one of the legs, please clarify, and I can help with that calculation as well.
\[ a^2 + b^2 = c^2 \]
where:
- \( c \) is the length of the hypotenuse
- \( a \) and \( b \) are the lengths of the other two legs of the triangle.
From your question, it seems you have the lengths of two legs (15 in and 17 in) and are looking to find the length of the missing leg \( b \).
Assuming 17 in is the hypotenuse (if it's not, let me know), you can rearrange the formula to solve for the missing leg \( b \):
1. Set \( a = 15 \) in and \( c = 17 \) in.
2. Plug the values into the Pythagorean theorem:
\[
15^2 + b^2 = 17^2
\]
\[
225 + b^2 = 289
\]
3. Subtract 225 from both sides:
\[
b^2 = 289 - 225
\]
\[
b^2 = 64
\]
4. Take the square root of both sides:
\[
b = \sqrt{64} = 8
\]
So, the length of the missing leg \( b \) is 8 inches.
If 17 in is not the hypotenuse and instead it is one of the legs, please clarify, and I can help with that calculation as well.