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

1 answer

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.