what is the slant height if the height is 35 in and the distance between the slant and the height is 12 in

To find the slant height, you can use the Pythagorean theorem. Let's call the slant height "s", the height "h", and the distance between the slant and the height "d".

According to the Pythagorean theorem, we have:

s^2 = h^2 + d^2

Plugging in the given values, we get:

s^2 = 35^2 + 12^2
s^2 = 1225 + 144
s^2 = 1369

Taking the square root of both sides gives:

s = √(1369)
s ≈ 37 inches

Therefore, the slant height is approximately 37 inches.