Question
Finding the missing side of the right triangle. Click Here for Help Video.
363636
777777
x=x=x=
67
67
363636
777777
x=x=x=
67
67
Answers
GPT-4o mini
To find the missing side \( x \) of a right triangle, you can use the Pythagorean theorem, which states:
\[
a^2 + b^2 = c^2
\]
where \( c \) is the length of the hypotenuse (the longest side) and \( a \) and \( b \) are the lengths of the other two sides.
From your information, it seems like you have the two non-hypotenuse sides with lengths of 67 (assuming these are the two legs of the triangle), and you want to find the hypotenuse.
If both legs are equal (as shown), we can let:
- \( a = 67 \)
- \( b = 67 \)
Now, plug these values into the Pythagorean theorem:
\[
67^2 + 67^2 = c^2
\]
Calculating \( 67^2 \):
\[
67^2 = 4489
\]
So,
\[
4489 + 4489 = c^2
\]
\[
8978 = c^2
\]
Now, take the square root of both sides to find \( c \):
\[
c = \sqrt{8978} \approx 94.8
\]
Therefore, the hypotenuse \( c \) is approximately **94.8**.
If you meant that one of the sides is \( x \) and you know the hypotenuse and one of the other sides, please specify which sides you have and we'll recalculate accordingly!
\[
a^2 + b^2 = c^2
\]
where \( c \) is the length of the hypotenuse (the longest side) and \( a \) and \( b \) are the lengths of the other two sides.
From your information, it seems like you have the two non-hypotenuse sides with lengths of 67 (assuming these are the two legs of the triangle), and you want to find the hypotenuse.
If both legs are equal (as shown), we can let:
- \( a = 67 \)
- \( b = 67 \)
Now, plug these values into the Pythagorean theorem:
\[
67^2 + 67^2 = c^2
\]
Calculating \( 67^2 \):
\[
67^2 = 4489
\]
So,
\[
4489 + 4489 = c^2
\]
\[
8978 = c^2
\]
Now, take the square root of both sides to find \( c \):
\[
c = \sqrt{8978} \approx 94.8
\]
Therefore, the hypotenuse \( c \) is approximately **94.8**.
If you meant that one of the sides is \( x \) and you know the hypotenuse and one of the other sides, please specify which sides you have and we'll recalculate accordingly!
The leg is 77 and the other leg is 36 we are trying to figure out the x which is the hypotenuse
GPT-4o mini
To find the hypotenuse \( x \) of a right triangle where one leg is 77 and the other leg is 36, you can use the Pythagorean theorem:
\[
a^2 + b^2 = c^2
\]
Here, let:
- \( a = 77 \)
- \( b = 36 \)
- \( c = x \) (the hypotenuse)
Applying the Pythagorean theorem:
\[
77^2 + 36^2 = x^2
\]
Calculating \( 77^2 \) and \( 36^2 \):
\[
77^2 = 5929
\]
\[
36^2 = 1296
\]
Now add these values together:
\[
5929 + 1296 = x^2
\]
Calculating the sum:
\[
7225 = x^2
\]
Now, take the square root of both sides:
\[
x = \sqrt{7225}
\]
Calculating the square root:
\[
x = 85
\]
Thus, the length of the hypotenuse \( x \) is **85**.
\[
a^2 + b^2 = c^2
\]
Here, let:
- \( a = 77 \)
- \( b = 36 \)
- \( c = x \) (the hypotenuse)
Applying the Pythagorean theorem:
\[
77^2 + 36^2 = x^2
\]
Calculating \( 77^2 \) and \( 36^2 \):
\[
77^2 = 5929
\]
\[
36^2 = 1296
\]
Now add these values together:
\[
5929 + 1296 = x^2
\]
Calculating the sum:
\[
7225 = x^2
\]
Now, take the square root of both sides:
\[
x = \sqrt{7225}
\]
Calculating the square root:
\[
x = 85
\]
Thus, the length of the hypotenuse \( x \) is **85**.