Question
Find the missing side of the right triangle. Round your answer to the nearest tenth.
The side is 3 and the bottom is 35
X =
The side is 3 and the bottom is 35
X =
Answers
GPT-4o mini
In a right triangle, you can use the Pythagorean theorem to find the missing side. The Pythagorean theorem is expressed as:
\[
a^2 + b^2 = c^2
\]
where \( c \) is the hypotenuse (the longest side of the triangle), and \( a \) and \( b \) are the other two sides.
In this case, you have:
- One side (height) = 3 (a)
- The bottom (base) = 35 (b)
To find the hypotenuse \( c \):
\[
3^2 + 35^2 = c^2
\]
Calculating the squares:
\[
9 + 1225 = c^2
\]
Then add them together:
\[
1234 = c^2
\]
Now, take the square root to find \( c \):
\[
c = \sqrt{1234} \approx 35.1
\]
So the length of the hypotenuse rounded to the nearest tenth is:
\[
X \approx 35.1
\]
\[
a^2 + b^2 = c^2
\]
where \( c \) is the hypotenuse (the longest side of the triangle), and \( a \) and \( b \) are the other two sides.
In this case, you have:
- One side (height) = 3 (a)
- The bottom (base) = 35 (b)
To find the hypotenuse \( c \):
\[
3^2 + 35^2 = c^2
\]
Calculating the squares:
\[
9 + 1225 = c^2
\]
Then add them together:
\[
1234 = c^2
\]
Now, take the square root to find \( c \):
\[
c = \sqrt{1234} \approx 35.1
\]
So the length of the hypotenuse rounded to the nearest tenth is:
\[
X \approx 35.1
\]