Question
what is the length of the missing leg if necessary round to the nearest tenth 100mm 96mm
Answers
GPT-4o mini
To find the length of the missing leg in a right triangle, you can use the Pythagorean theorem:
\[
a^2 + b^2 = c^2
\]
where \(c\) is the hypotenuse and \(a\) and \(b\) are the legs of the triangle.
Assuming that 100 mm is the hypotenuse (c) and 96 mm is one of the legs (a), we can rearrange the formula to solve for the missing leg (b):
\[
b^2 = c^2 - a^2
\]
Substituting the values:
\[
b^2 = 100^2 - 96^2
\]
Calculating the squares:
\[
b^2 = 10000 - 9216
\]
\[
b^2 = 784
\]
Now, take the square root to find \(b\):
\[
b = \sqrt{784} \approx 28
\]
Thus, the length of the missing leg is approximately **28.0 mm** when rounded to the nearest tenth.
\[
a^2 + b^2 = c^2
\]
where \(c\) is the hypotenuse and \(a\) and \(b\) are the legs of the triangle.
Assuming that 100 mm is the hypotenuse (c) and 96 mm is one of the legs (a), we can rearrange the formula to solve for the missing leg (b):
\[
b^2 = c^2 - a^2
\]
Substituting the values:
\[
b^2 = 100^2 - 96^2
\]
Calculating the squares:
\[
b^2 = 10000 - 9216
\]
\[
b^2 = 784
\]
Now, take the square root to find \(b\):
\[
b = \sqrt{784} \approx 28
\]
Thus, the length of the missing leg is approximately **28.0 mm** when rounded to the nearest tenth.