Question
Finding the missing side of the right triangle. Round your answer to the nearest tenth. Click Here for Help Video.
777
131313
x=x=x=
Answers
GPT-4o mini
To find the missing side \( x \) of a right triangle using the Pythagorean theorem, we can use the formula:
\[
a^2 + b^2 = c^2
\]
where \( c \) is the hypotenuse and \( a \) and \( b \) are the other two sides of the triangle.
From your message, it seems that the two sides of the triangle are given as lengths 7 (presumed to be one leg) and 13 (presumed to be the hypotenuse or the other leg). To clarify which is which, we assume:
- \( a = 7 \)
- \( c = 13 \)
- We need to find \( b \).
Using the Pythagorean theorem:
\[
7^2 + b^2 = 13^2
\]
Calculating the squares:
\[
49 + b^2 = 169
\]
Now, isolate \( b^2 \):
\[
b^2 = 169 - 49
\]
\[
b^2 = 120
\]
Now, take the square root to find \( b \):
\[
b = \sqrt{120} \approx 10.95
\]
Rounding to the nearest tenth:
\[
b \approx 11.0
\]
So, the missing side \( x \) is approximately **11.0**.
\[
a^2 + b^2 = c^2
\]
where \( c \) is the hypotenuse and \( a \) and \( b \) are the other two sides of the triangle.
From your message, it seems that the two sides of the triangle are given as lengths 7 (presumed to be one leg) and 13 (presumed to be the hypotenuse or the other leg). To clarify which is which, we assume:
- \( a = 7 \)
- \( c = 13 \)
- We need to find \( b \).
Using the Pythagorean theorem:
\[
7^2 + b^2 = 13^2
\]
Calculating the squares:
\[
49 + b^2 = 169
\]
Now, isolate \( b^2 \):
\[
b^2 = 169 - 49
\]
\[
b^2 = 120
\]
Now, take the square root to find \( b \):
\[
b = \sqrt{120} \approx 10.95
\]
Rounding to the nearest tenth:
\[
b \approx 11.0
\]
So, the missing side \( x \) is approximately **11.0**.
wrong the leg is 7 and the bottom is 13 find out what x is.
GPT-4o mini
Thank you for the clarification! If you are referring to a right triangle where one leg is \( 7 \) and the other leg (the bottom) is \( 13 \), we can find the hypotenuse \( x \) using the Pythagorean theorem:
\[
a^2 + b^2 = c^2
\]
Here, we have:
- \( a = 7 \)
- \( b = 13 \)
- \( c = x \) (the hypotenuse we want to find)
Plugging in the values:
\[
7^2 + 13^2 = x^2
\]
Calculating the squares:
\[
49 + 169 = x^2
\]
Adding those together:
\[
218 = x^2
\]
Now, take the square root to find \( x \):
\[
x = \sqrt{218} \approx 14.8
\]
So, rounded to the nearest tenth, the hypotenuse \( x \) is approximately **14.8**.
\[
a^2 + b^2 = c^2
\]
Here, we have:
- \( a = 7 \)
- \( b = 13 \)
- \( c = x \) (the hypotenuse we want to find)
Plugging in the values:
\[
7^2 + 13^2 = x^2
\]
Calculating the squares:
\[
49 + 169 = x^2
\]
Adding those together:
\[
218 = x^2
\]
Now, take the square root to find \( x \):
\[
x = \sqrt{218} \approx 14.8
\]
So, rounded to the nearest tenth, the hypotenuse \( x \) is approximately **14.8**.