Question
a=7 units
b= ? units
(hypotenuse)c=16 units
what is the middle unit
b= ? units
(hypotenuse)c=16 units
what is the middle unit
Answers
GPT-4o mini
Given the values you've provided, we can apply the Pythagorean theorem to find the missing side \( b \). The Pythagorean theorem states that for a right triangle:
\[
a^2 + b^2 = c^2
\]
In your case:
- \( a = 7 \) units
- \( c = 16 \) units
We need to find \( b \). Plugging in the known values:
\[
7^2 + b^2 = 16^2
\]
Calculating the squares:
\[
49 + b^2 = 256
\]
Now, let's isolate \( b^2 \):
\[
b^2 = 256 - 49
\]
\[
b^2 = 207
\]
Taking the square root of both sides gives us \( b \):
\[
b = \sqrt{207} \approx 14.42 \, \text{units}
\]
So the missing side \( b \) is approximately \( 14.42 \) units.
\[
a^2 + b^2 = c^2
\]
In your case:
- \( a = 7 \) units
- \( c = 16 \) units
We need to find \( b \). Plugging in the known values:
\[
7^2 + b^2 = 16^2
\]
Calculating the squares:
\[
49 + b^2 = 256
\]
Now, let's isolate \( b^2 \):
\[
b^2 = 256 - 49
\]
\[
b^2 = 207
\]
Taking the square root of both sides gives us \( b \):
\[
b = \sqrt{207} \approx 14.42 \, \text{units}
\]
So the missing side \( b \) is approximately \( 14.42 \) units.