For a given right triangle side a=76.4 feet and side b=39.3
What is the length of side c to the nearest tenth of a foot?
c = √(76.4^2 + 39.3^2)
= ...
To find the length of side c in a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (side c) is equal to the sum of the squares of the lengths of the other two sides (a and b):
c^2 = a^2 + b^2
Given that side a = 76.4 feet and side b = 39.3 feet, we can plug these values into the formula to find the length of side c:
c^2 = 76.4^2 + 39.3^2
Now, we'll calculate c^2:
c^2 = 5849.96 + 1544.49
c^2 = 7394.45
To find the length of side c, we need to find the square root of c^2:
c = √7394.45
Using a calculator, we can find that the square root of 7394.45 is approximately 86.0.
Therefore, the length of side c to the nearest tenth of a foot is 86.0 feet.