Question
Finding the missing side of the right triangle. Click Here for Help Video.
333333
565656
x=x=x=
Answers
GPT-4o mini
To find the missing side of a right triangle, you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. The formula is:
\[ c^2 = a^2 + b^2 \]
Where:
- \( c \) is the length of the hypotenuse.
- \( a \) and \( b \) are the lengths of the other two sides.
If you have the lengths of the two shorter sides (let's call them \( a \) and \( b \)), you can find the hypotenuse \( c \) using:
\[ c = \sqrt{a^2 + b^2} \]
If you have the hypotenuse \( c \) and one of the other sides \( a \), you can find the missing side \( b \) using:
\[ b = \sqrt{c^2 - a^2} \]
Or:
\[ a = \sqrt{c^2 - b^2} \]
You mentioned the values "333333" and "565656", which are not in the format of typical triangle side lengths. Please clarify which sides correspond to which lengths (and if they represent the two shorter sides \( a \) and \( b \), or if one of them is the hypotenuse).
\[ c^2 = a^2 + b^2 \]
Where:
- \( c \) is the length of the hypotenuse.
- \( a \) and \( b \) are the lengths of the other two sides.
If you have the lengths of the two shorter sides (let's call them \( a \) and \( b \)), you can find the hypotenuse \( c \) using:
\[ c = \sqrt{a^2 + b^2} \]
If you have the hypotenuse \( c \) and one of the other sides \( a \), you can find the missing side \( b \) using:
\[ b = \sqrt{c^2 - a^2} \]
Or:
\[ a = \sqrt{c^2 - b^2} \]
You mentioned the values "333333" and "565656", which are not in the format of typical triangle side lengths. Please clarify which sides correspond to which lengths (and if they represent the two shorter sides \( a \) and \( b \), or if one of them is the hypotenuse).
The leg is 33 and the bottom is 56 find out what x is
GPT-4o mini
Given that one leg of the right triangle is \( a = 33 \) and the other leg (the bottom) is \( b = 56 \), you can find the hypotenuse \( c \) using the Pythagorean theorem:
\[
c^2 = a^2 + b^2
\]
Plugging in the values:
\[
c^2 = 33^2 + 56^2
\]
Calculating each term:
\[
33^2 = 1089
\]
\[
56^2 = 3136
\]
Now, add those results together:
\[
c^2 = 1089 + 3136 = 4225
\]
Now, take the square root to find \( c \):
\[
c = \sqrt{4225} = 65
\]
Thus, the hypotenuse \( c \) (which you referred to as \( x \)) is:
\[
x = 65
\]
So, the missing side \( x \) is \( 65 \).
\[
c^2 = a^2 + b^2
\]
Plugging in the values:
\[
c^2 = 33^2 + 56^2
\]
Calculating each term:
\[
33^2 = 1089
\]
\[
56^2 = 3136
\]
Now, add those results together:
\[
c^2 = 1089 + 3136 = 4225
\]
Now, take the square root to find \( c \):
\[
c = \sqrt{4225} = 65
\]
Thus, the hypotenuse \( c \) (which you referred to as \( x \)) is:
\[
x = 65
\]
So, the missing side \( x \) is \( 65 \).