if the height is 252 m and the slant height is 277 m what is the length of the base
To find the length of the base, we can use the Pythagorean theorem.
Let's call the length of the base b. According to the Pythagorean theorem, the sum of the squares of the two legs (height and base) is equal to the square of the hypotenuse (slant height).
So, we have:
b^2 + 252^2 = 277^2
b^2 + 63,504 = 76,729
b^2 = 13,225
Taking the square root of both sides, we get:
b ≈ √13,225
b ≈ 115
Therefore, the length of the base is approximately 115 meters.