Answer:
The slant length is sqrt(10)
Step-by-step explanation:
We can use the Pythagorean theorem to determine the slant height.
The base of the right triangle, a, is 1/2 the side length of the square
1/2(2) =1
a=1
The other leg of the triangle, b, the height of the pyramid
b=3
The hypotenuse is the slant length or c
a^2 +b^2 =c^2 by the Pythagorean theorem
1^2 + 3^2 = c^2
1+9=c^2
10 = c^2
Take the square root of each side
sqrt(10) = sqrt(c)
The slant length is sqrt(10)
