Find the slant height of the square pyramid when the width is 16 and the height is 15
To find the slant height of a square pyramid, we can use the Pythagorean theorem.
The slant height (l) of a square pyramid can be found by calculating the square root of the sum of the height (h) squared and half the width (w) squared.
In this case, the height (h) is given as 15 and the width (w) as 16.
Using the Pythagorean theorem:
l = √(h^2 + (w/2)^2)
l = √(15^2 + (16/2)^2)
l = √(225 + 64)
l = √289
l = 17
Therefore, the slant height of the square pyramid is 17.
To find the slant height of a square pyramid, we can use the Pythagorean Theorem.
The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In a square pyramid, the slant height is the hypotenuse of a right triangle formed by the height, width, and slant height.
In this case, the height (h) is given as 15 and the width of the base (w) is given as 16.
Let's call the slant height as s.
Using the Pythagorean Theorem, we have:
s^2 = h^2 + w^2
s^2 = 15^2 + 16^2
s^2 = 225 + 256
s^2 = 481
Taking the square root of both sides, we get:
s ≈ √481
s ≈ 21.94
Therefore, the slant height of the square pyramid is approximately 21.94.
To find the slant height of a square pyramid, we can use the Pythagorean Theorem.
The slant height is the distance from the base of the pyramid to the apex (the top point). In a square pyramid, the slant height forms the hypotenuse of a right triangle, with the width of the base as one side and the height from the base to the apex as the other side.
In this case, the width of the base is given as 16 and the height from the base to the apex is given as 15.
To find the slant height, we can use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b):
c^2 = a^2 + b^2
In our case, let's call the slant height "c", the width of the base "a", and the height from the base to the apex "b".
So, we have:
c^2 = a^2 + b^2
Substituting the given values:
c^2 = 16^2 + 15^2
c^2 = 256 + 225
c^2 = 481
To find "c", we take the square root of both sides:
c = √481
c ≈ 21.93
Therefore, the slant height of the square pyramid is approximately 21.93.