If the area of 

△ABC=134
square feet, 
m∠C = 41°
, and
b=24
feet, then what is the length of side
a
? Round your answer to the nearest whole number.

3 answers

To find the length of side a, we can use the formula for the area of a triangle:

Area = (1/2) * base * height

In this case, the base (b) is 24 feet and the height can be represented as "a" (the length of side a).

Plugging in the given values, we have:

134 = (1/2) * 24 * a

To isolate "a", we can divide both sides of the equation by (1/2) * 24:

a = 134 / (1/2) * 24
a = 134 / 12
a ≈ 11.17

Rounded to the nearest whole number, the length of side a is 11 feet.
the awnsers that you can pick from are 17 feet 15feet 16feet 9feet
In that case, we need to round the length of side a, 11.17, to the nearest whole number from the available options.

Out of the given options, the nearest whole number to 11.17 is 11 feet.