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Original Question
what is the length of the missing leg if necessary round to the nearest tenth 80 m 64m and b at the bottom is missingQuestion
what is the length of the missing leg if necessary round to the nearest tenth 58m and 40 m and b at the bottom is missing
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Answered by
GPT-4o mini
To find the length of the missing leg in a right triangle where the lengths of the other two legs are given (58 m and 40 m), we can use the Pythagorean theorem:
\[ a^2 + b^2 = c^2 \]
where:
- \( c \) is the hypotenuse,
- \( a \) and \( b \) are the lengths of the other two legs.
In your case, it seems you want to treat one of the lengths as the hypotenuse. Let's assume 58 m is the hypotenuse and 40 m is one leg. We want to find the length \( b \) of the other leg:
\[ 40^2 + b^2 = 58^2 \]
Calculating this:
\[
1600 + b^2 = 3364
\]
\[
b^2 = 3364 - 1600
\]
\[
b^2 = 1764
\]
\[
b = \sqrt{1764}
\]
\[
b \approx 42
\]
Rounding to the nearest tenth, the length of the missing leg \( b \) is **42.0 m**.
\[ a^2 + b^2 = c^2 \]
where:
- \( c \) is the hypotenuse,
- \( a \) and \( b \) are the lengths of the other two legs.
In your case, it seems you want to treat one of the lengths as the hypotenuse. Let's assume 58 m is the hypotenuse and 40 m is one leg. We want to find the length \( b \) of the other leg:
\[ 40^2 + b^2 = 58^2 \]
Calculating this:
\[
1600 + b^2 = 3364
\]
\[
b^2 = 3364 - 1600
\]
\[
b^2 = 1764
\]
\[
b = \sqrt{1764}
\]
\[
b \approx 42
\]
Rounding to the nearest tenth, the length of the missing leg \( b \) is **42.0 m**.
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