Question
Finding the missing side of the right triangle. Round your answer to the nearest tenth. Click Here for Help Video.
888
262626
x=x=x=
Answers
GPT-4o mini
To find the missing side of a right triangle, you can apply the Pythagorean theorem, which states:
\[ a^2 + b^2 = c^2 \]
where \( c \) is the length of the hypotenuse and \( a \) and \( b \) are the lengths of the other two sides.
Let's assume you have the lengths of one side and the hypotenuse. For example, if one side is 888 and the hypotenuse is 262626:
1. Set \( a = 888 \) and \( c = 262626 \).
2. Rearrange the Pythagorean theorem to find \( b \):
\[
b^2 = c^2 - a^2
\]
3. Substitute the values:
\[
b^2 = 262626^2 - 888^2
\]
4. Calculate \( b^2 \):
- First, calculate \( 262626^2 \) and \( 888^2 \):
\[
262626^2 = 69110022776
\]
\[
888^2 = 788544
\]
- Subtract the squares:
\[
b^2 = 69110022776 - 788544 = 69109234232
\]
5. Take the square root to find \( b \):
\[
b = \sqrt{69109234232} \approx 2631.6
\]
So, rounding to the nearest tenth, the missing side \( x \) is approximately \( 2631.6 \).
\[ a^2 + b^2 = c^2 \]
where \( c \) is the length of the hypotenuse and \( a \) and \( b \) are the lengths of the other two sides.
Let's assume you have the lengths of one side and the hypotenuse. For example, if one side is 888 and the hypotenuse is 262626:
1. Set \( a = 888 \) and \( c = 262626 \).
2. Rearrange the Pythagorean theorem to find \( b \):
\[
b^2 = c^2 - a^2
\]
3. Substitute the values:
\[
b^2 = 262626^2 - 888^2
\]
4. Calculate \( b^2 \):
- First, calculate \( 262626^2 \) and \( 888^2 \):
\[
262626^2 = 69110022776
\]
\[
888^2 = 788544
\]
- Subtract the squares:
\[
b^2 = 69110022776 - 788544 = 69109234232
\]
5. Take the square root to find \( b \):
\[
b = \sqrt{69109234232} \approx 2631.6
\]
So, rounding to the nearest tenth, the missing side \( x \) is approximately \( 2631.6 \).
wrong the leg is 8 and the other thing is 26 find x
GPT-4o mini
Let's find the missing side of the right triangle using the Pythagorean theorem. You have:
- One leg (\(a\)) = 8
- The other leg (\(b\)) = 26
- The hypotenuse (\(c\)) will be the side we need to calculate.
According to the Pythagorean theorem:
\[ a^2 + b^2 = c^2 \]
Substituting in the values:
\[ 8^2 + 26^2 = c^2 \]
Calculating the squares:
\[ 64 + 676 = c^2 \]
\[ 740 = c^2 \]
Now, take the square root of both sides:
\[ c = \sqrt{740} \]
Calculating the square root:
\[ c \approx 27.2 \]
Thus, the length of the hypotenuse (\(c\)) is approximately **27.2** when rounded to the nearest tenth.
- One leg (\(a\)) = 8
- The other leg (\(b\)) = 26
- The hypotenuse (\(c\)) will be the side we need to calculate.
According to the Pythagorean theorem:
\[ a^2 + b^2 = c^2 \]
Substituting in the values:
\[ 8^2 + 26^2 = c^2 \]
Calculating the squares:
\[ 64 + 676 = c^2 \]
\[ 740 = c^2 \]
Now, take the square root of both sides:
\[ c = \sqrt{740} \]
Calculating the square root:
\[ c \approx 27.2 \]
Thus, the length of the hypotenuse (\(c\)) is approximately **27.2** when rounded to the nearest tenth.
round to nearest 10
GPT-4o mini
To round the hypotenuse \( c \approx 27.2 \) to the nearest ten:
1. Look at the ones digit (which is 7 in this case).
2. Since 7 is greater than 5, we round up.
Therefore, \( 27.2 \) rounded to the nearest ten is **30**.
1. Look at the ones digit (which is 7 in this case).
2. Since 7 is greater than 5, we round up.
Therefore, \( 27.2 \) rounded to the nearest ten is **30**.
nearest tenth
GPT-4o mini
I apologize for the confusion in my previous message. Let's clarify:
The calculated length of the hypotenuse \( c \) was approximately \( 27.2 \).
When rounding to the nearest tenth:
- The value is already at one decimal place, so \( 27.2 \) rounded to the nearest tenth remains **27.2**.
Thank you for your patience!
The calculated length of the hypotenuse \( c \) was approximately \( 27.2 \).
When rounding to the nearest tenth:
- The value is already at one decimal place, so \( 27.2 \) rounded to the nearest tenth remains **27.2**.
Thank you for your patience!
The slope is 26 and the leg is 8 FIND X DONT GIVE ME ANOTHER WRONG ANSWER
GPT-4o mini
Apologies for the confusion in previous responses. Let's clarify:
If you're asking for a right triangle where one leg is \( 8 \) and the slope is \( 26 \), it seems like you're referring to a slope of a right triangle formed between the two legs.
Considering:
- One leg (\( a \)) = 8 (vertical leg)
- The slope (rise/run) = 26 (this could mean the vertical leg over the horizontal leg).
Using the slope \(\text{slope} = \frac{\text{rise}}{\text{run}} = \frac{8}{x} = 26\), we can set up the equation:
\[
\frac{8}{x} = 26
\]
To solve for \( x \):
1. Cross-multiply:
\[
8 = 26x
\]
2. Divide by 26:
\[
x = \frac{8}{26}
\]
3. Simplifying gives:
\[
x = \frac{4}{13} \approx 0.3077
\]
If the slope describes a ratio where 8 is the vertical rise, and the slope of the triangle is 26, then the value of \( x \), which represents the horizontal leg, is approximately **0.3** rounded to the nearest tenth.
If your intent was different, please clarify your requirements, and I'll assist you accordingly!
If you're asking for a right triangle where one leg is \( 8 \) and the slope is \( 26 \), it seems like you're referring to a slope of a right triangle formed between the two legs.
Considering:
- One leg (\( a \)) = 8 (vertical leg)
- The slope (rise/run) = 26 (this could mean the vertical leg over the horizontal leg).
Using the slope \(\text{slope} = \frac{\text{rise}}{\text{run}} = \frac{8}{x} = 26\), we can set up the equation:
\[
\frac{8}{x} = 26
\]
To solve for \( x \):
1. Cross-multiply:
\[
8 = 26x
\]
2. Divide by 26:
\[
x = \frac{8}{26}
\]
3. Simplifying gives:
\[
x = \frac{4}{13} \approx 0.3077
\]
If the slope describes a ratio where 8 is the vertical rise, and the slope of the triangle is 26, then the value of \( x \), which represents the horizontal leg, is approximately **0.3** rounded to the nearest tenth.
If your intent was different, please clarify your requirements, and I'll assist you accordingly!