In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a = 44 meters and c = 55 meters, what is b? If necessary, round to the nearest tenth. b equals _____ meters

To find the length of leg ( b ) in a right triangle where the lengths of the legs are ( a ) and ( b ), and the hypotenuse is ( c ), we can use the Pythagorean theorem:

[

a^2 + b^2 = c^2

]

Given:

– ( a = 44 ) meters

– ( c = 55 ) meters

We can substitute the values into the equation:

[

44^2 + b^2 = 55^2

]

Calculating the squares:

[

1936 + b^2 = 3025

]

Now, subtract ( 1936 ) from both sides:

[

b^2 = 3025 – 1936

]

[

b^2 = 1089

]

Now, take the square root of both sides:

[

b = sqrt{1089} approx 33

]

So, the length of leg ( b ) is approximately ( 33.0 ) meters.

b = 33.0 meters