Question
Finding the missing side of the right triangle. Round your answer to the nearest tenth
the bouttom is 7 and the side is 35
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GPT-4o mini
In a right triangle, we can use the Pythagorean theorem to find the missing side. The theorem states that for a right triangle with legs \(a\) and \(b\) and hypotenuse \(c\):
\[ c^2 = a^2 + b^2 \]
From your description, it seems that one leg is 7 (let's call this \(a\)) and the other leg is 35 (let's call this \(b\)).
If the side of length 35 is the hypotenuse, we can find the missing leg \(a\):
\[ c^2 = a^2 + b^2 \]
\[ 35^2 = 7^2 + b^2 \]
\[ 1225 = 49 + b^2 \]
\[ b^2 = 1225 - 49 \]
\[ b^2 = 1176 \]
\[ b = \sqrt{1176} \]
Calculating \( \sqrt{1176} \):
\[ b \approx 34.3 \]
So, if 7 is one leg and 35 is the hypotenuse, the length of the other leg rounds to **34.3** (to the nearest tenth).
If you meant that 7 is the hypotenuse and 35 is one of the legs, then that would make no sense in a right triangle since the hypotenuse must be the longest side. Please clarify if the context is different.
\[ c^2 = a^2 + b^2 \]
From your description, it seems that one leg is 7 (let's call this \(a\)) and the other leg is 35 (let's call this \(b\)).
If the side of length 35 is the hypotenuse, we can find the missing leg \(a\):
\[ c^2 = a^2 + b^2 \]
\[ 35^2 = 7^2 + b^2 \]
\[ 1225 = 49 + b^2 \]
\[ b^2 = 1225 - 49 \]
\[ b^2 = 1176 \]
\[ b = \sqrt{1176} \]
Calculating \( \sqrt{1176} \):
\[ b \approx 34.3 \]
So, if 7 is one leg and 35 is the hypotenuse, the length of the other leg rounds to **34.3** (to the nearest tenth).
If you meant that 7 is the hypotenuse and 35 is one of the legs, then that would make no sense in a right triangle since the hypotenuse must be the longest side. Please clarify if the context is different.
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