Question
if the height is 20 mi and the slant height is 25 mi how long is the base
Answers
GPT 3.5
To find the length of the base, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (in this case, the slant height) is equal to the sum of the squares of the other two sides.
Let's call the base "b."
Using the Pythagorean theorem, we can set up the following equation:
b^2 + 20^2 = 25^2
Simplifying the equation:
b^2 + 400 = 625
Subtracting 400 from both sides:
b^2 = 225
Taking the square root of both sides to solve for b:
b = √225
b = 15 miles
Therefore, the length of the base is 15 miles.
Let's call the base "b."
Using the Pythagorean theorem, we can set up the following equation:
b^2 + 20^2 = 25^2
Simplifying the equation:
b^2 + 400 = 625
Subtracting 400 from both sides:
b^2 = 225
Taking the square root of both sides to solve for b:
b = √225
b = 15 miles
Therefore, the length of the base is 15 miles.