Question
Finding the missing side of the right triangle. Click Here for Help Video.
363636
777777
x=x=x=
Answers
GPT-4o mini
To find the missing side of a right triangle, we'll use the Pythagorean theorem, which states:
\[ a^2 + b^2 = c^2 \]
where:
- \( c \) is the length of the hypotenuse (the side opposite the right angle),
- \( a \) and \( b \) are the lengths of the other two sides.
In your case, it looks like there are numbers repeated (363636 and 777777), but it's unclear how they relate to the sides of the triangle.
Assuming you meant:
- \( a = 363636 \)
- \( b = 777777 \)
And we need to find \( c \) (the hypotenuse):
1. Plug the values into the Pythagorean theorem:
\[
363636^2 + 777777^2 = c^2
\]
2. Calculate:
\[
363636^2 = 132,442,276,096
\]
\[
777777^2 = 605,837,539,729
\]
3. Now add the two results:
\[
132,442,276,096 + 605,837,539,729 = 738,279,815,825
\]
4. Now find \( c \):
\[
c = \sqrt{738,279,815,825} \approx 859,569.29
\]
Therefore, the length of the hypotenuse (the missing side) is approximately \( 859,569.29 \).
If the provided numbers correspond to different sides, please clarify, and I can help you find the correct missing side using the proper values!
\[ a^2 + b^2 = c^2 \]
where:
- \( c \) is the length of the hypotenuse (the side opposite the right angle),
- \( a \) and \( b \) are the lengths of the other two sides.
In your case, it looks like there are numbers repeated (363636 and 777777), but it's unclear how they relate to the sides of the triangle.
Assuming you meant:
- \( a = 363636 \)
- \( b = 777777 \)
And we need to find \( c \) (the hypotenuse):
1. Plug the values into the Pythagorean theorem:
\[
363636^2 + 777777^2 = c^2
\]
2. Calculate:
\[
363636^2 = 132,442,276,096
\]
\[
777777^2 = 605,837,539,729
\]
3. Now add the two results:
\[
132,442,276,096 + 605,837,539,729 = 738,279,815,825
\]
4. Now find \( c \):
\[
c = \sqrt{738,279,815,825} \approx 859,569.29
\]
Therefore, the length of the hypotenuse (the missing side) is approximately \( 859,569.29 \).
If the provided numbers correspond to different sides, please clarify, and I can help you find the correct missing side using the proper values!
X!
GPT-4o mini
It seems like you might be asking for a more straightforward response. If you're looking for the length of the missing side \( x \) in a right triangle where one of the sides was given as 363636 and the other as 777777 (or vice versa), or if you're trying to solve for \( x \) using the Pythagorean theorem:
### Let’s assume:
1. One side \( a = 363636 \)
2. The other side \( b = 777777 \)
3. We want to find the hypotenuse \( c \).
Using the formula:
\[
c = \sqrt{a^2 + b^2}
\]
### Calculation:
1. Calculate \( a^2 \):
\[
363636^2 \approx 132,442,576,096
\]
2. Calculate \( b^2 \):
\[
777777^2 \approx 605,837,539,729
\]
3. Sum the values:
\[
132,442,576,096 + 605,837,539,729 \approx 738,279,115,825
\]
4. Take the square root to find \( c \):
\[
c = \sqrt{738,279,115,825} \approx 859,731.4
\]
### Conclusion:
If you're finding \( x \) for the hypotenuse, then \( x \approx 859,731.4 \).
If you meant something different by "X!", please clarify, and I’ll be happy to assist further!
### Let’s assume:
1. One side \( a = 363636 \)
2. The other side \( b = 777777 \)
3. We want to find the hypotenuse \( c \).
Using the formula:
\[
c = \sqrt{a^2 + b^2}
\]
### Calculation:
1. Calculate \( a^2 \):
\[
363636^2 \approx 132,442,576,096
\]
2. Calculate \( b^2 \):
\[
777777^2 \approx 605,837,539,729
\]
3. Sum the values:
\[
132,442,576,096 + 605,837,539,729 \approx 738,279,115,825
\]
4. Take the square root to find \( c \):
\[
c = \sqrt{738,279,115,825} \approx 859,731.4
\]
### Conclusion:
If you're finding \( x \) for the hypotenuse, then \( x \approx 859,731.4 \).
If you meant something different by "X!", please clarify, and I’ll be happy to assist further!
find out what x is
GPT-4o mini
To find \( x \) in the context of a right triangle, we need more information about the triangle:
1. **Which sides are provided?** Are you given two sides (the legs) and need to find the hypotenuse, or is one side a hypotenuse and you need to find one of the legs?
2. **Any angle information?**
### Assuming the following scenarios:
#### Case 1: Finding the hypotenuse \( c \):
Given:
- \( a = 363636 \)
- \( b = 777777 \)
Using the Pythagorean theorem:
\[
c = \sqrt{a^2 + b^2}
\]
Calculating:
- \( a^2 = 363636^2 \approx 132,442,576,096 \)
- \( b^2 = 777777^2 \approx 605,837,539,729 \)
Sum:
\[
c^2 = 132,442,576,096 + 605,837,539,729 = 738,280,115,825
\]
Therefore, finding \( c \):
\[
c = \sqrt{738,280,115,825} \approx 859,731.4
\]
So, if \( x \) represents the hypotenuse, \( x \approx 859,731.4 \).
---
#### Case 2: Finding a leg \( x \):
If you have one leg \( a \) or \( b \) and the hypotenuse \( c \):
- Let’s say you have \( c = 777777 \) and \( a = 363636 \), you find \( x \) (the other leg):
\[
c^2 = a^2 + x^2 \implies x^2 = c^2 - a^2
\]
Plugging in the numbers:
\[
x^2 = 777777^2 - 363636^2
\]
Calculating:
- \( 777777^2 \approx 605,837,539,729 \)
- \( 363636^2 \approx 132,442,576,096 \)
Then:
\[
x^2 = 605,837,539,729 - 132,442,576,096 = 473,394,963,633
\]
Finding \( x \):
\[
x = \sqrt{473,394,963,633} \approx 688,062.3
\]
### Conclusion:
- If \( x \) is the hypotenuse, then \( x \approx 859,731.4 \).
- If \( x \) is the missing leg, then \( x \approx 688,062.3 \).
Please provide clarification on the specific triangle side situation, and I can give you an exact answer for \( x \)!
1. **Which sides are provided?** Are you given two sides (the legs) and need to find the hypotenuse, or is one side a hypotenuse and you need to find one of the legs?
2. **Any angle information?**
### Assuming the following scenarios:
#### Case 1: Finding the hypotenuse \( c \):
Given:
- \( a = 363636 \)
- \( b = 777777 \)
Using the Pythagorean theorem:
\[
c = \sqrt{a^2 + b^2}
\]
Calculating:
- \( a^2 = 363636^2 \approx 132,442,576,096 \)
- \( b^2 = 777777^2 \approx 605,837,539,729 \)
Sum:
\[
c^2 = 132,442,576,096 + 605,837,539,729 = 738,280,115,825
\]
Therefore, finding \( c \):
\[
c = \sqrt{738,280,115,825} \approx 859,731.4
\]
So, if \( x \) represents the hypotenuse, \( x \approx 859,731.4 \).
---
#### Case 2: Finding a leg \( x \):
If you have one leg \( a \) or \( b \) and the hypotenuse \( c \):
- Let’s say you have \( c = 777777 \) and \( a = 363636 \), you find \( x \) (the other leg):
\[
c^2 = a^2 + x^2 \implies x^2 = c^2 - a^2
\]
Plugging in the numbers:
\[
x^2 = 777777^2 - 363636^2
\]
Calculating:
- \( 777777^2 \approx 605,837,539,729 \)
- \( 363636^2 \approx 132,442,576,096 \)
Then:
\[
x^2 = 605,837,539,729 - 132,442,576,096 = 473,394,963,633
\]
Finding \( x \):
\[
x = \sqrt{473,394,963,633} \approx 688,062.3
\]
### Conclusion:
- If \( x \) is the hypotenuse, then \( x \approx 859,731.4 \).
- If \( x \) is the missing leg, then \( x \approx 688,062.3 \).
Please provide clarification on the specific triangle side situation, and I can give you an exact answer for \( x \)!