For a given right triangle, side a = 76.4 feet and side b = 39.3 feet. What is the length of side c to the nearest tenth of a foot?
To find the length of side c in a right triangle, you can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two legs (a and b) is equal to the square of the length of the hypotenuse (c).
So, in this case, we have:
a = 76.4 feet
b = 39.3 feet
Using the Pythagorean theorem, we can solve for c:
c^2 = a^2 + b^2
c^2 = (76.4)^2 + (39.3)^2
c^2 = 5851.36 + 1544.49
c^2 = 7395.85
Now, we need to find the square root of c^2 to get the value of c:
c = √7395.85
To the nearest tenth of a foot, c is approximately:
c ≈ 86.0 feet