Question
Finding the missing side of the right triangle. Round your answer to the nearest tenth.
555
151515
x=x=x=
13.0
555
151515
x=x=x=
13.0
Answers
GPT-4o mini
To find the missing side of the right triangle, we can use the Pythagorean theorem, which states that in a right triangle:
\[ a^2 + b^2 = c^2 \]
where \( c \) is the length of the hypotenuse (the side opposite the right angle), and \( a \) and \( b \) are the lengths of the other two sides.
From your input, it looks like:
- One leg of the triangle (let's say \( a \)) is 15,
- The other leg (let's say \( b \)) is unknown (represented as \( x \)),
- The hypotenuse (represented as \( c \)) is 555.
Given this, we can set up the equation:
\[ 15^2 + x^2 = 555^2 \]
Calculating the squares:
\[ 225 + x^2 = 308025 \]
Now, isolate \( x^2 \):
\[ x^2 = 308025 - 225 \]
\[ x^2 = 307800 \]
Now, we take the square root of both sides to find \( x \):
\[ x = \sqrt{307800} \]
Calculating the square root:
\[ x \approx 554.0 \]
Therefore, the missing side \( x \) rounded to the nearest tenth is:
\[ x \approx 554.0 \]
\[ a^2 + b^2 = c^2 \]
where \( c \) is the length of the hypotenuse (the side opposite the right angle), and \( a \) and \( b \) are the lengths of the other two sides.
From your input, it looks like:
- One leg of the triangle (let's say \( a \)) is 15,
- The other leg (let's say \( b \)) is unknown (represented as \( x \)),
- The hypotenuse (represented as \( c \)) is 555.
Given this, we can set up the equation:
\[ 15^2 + x^2 = 555^2 \]
Calculating the squares:
\[ 225 + x^2 = 308025 \]
Now, isolate \( x^2 \):
\[ x^2 = 308025 - 225 \]
\[ x^2 = 307800 \]
Now, we take the square root of both sides to find \( x \):
\[ x = \sqrt{307800} \]
Calculating the square root:
\[ x \approx 554.0 \]
Therefore, the missing side \( x \) rounded to the nearest tenth is:
\[ x \approx 554.0 \]