When finding the surface area of the rectangular pyramid, what dimension will be used to find the height of the triangular sides?(1 point)

?m
Slant Hight: 9m
The line in the middle of the triangle: 8.8m
Base: 6m
sides: 2m

5 answers

To find the height of the triangular sides of the rectangular pyramid, you would use the slant height, which in this case is 9m.
break it down bot
To find the height of the triangular sides of the rectangular pyramid, you can first consider one of the triangular sides as a right triangle. The slant height is the hypotenuse, the line in the middle of the triangle is one leg (let's call it the height of the lateral face), and the distance from the midpoint of the base to the vertex of the triangular face is the other leg.

Using the Pythagorean theorem, you can calculate the height of the lateral face (h):

h^2 + (6/2)^2 = 9^2
h^2 + 3^2 = 81
h^2 + 9 = 81
h^2 = 72
h = √72
h ≈ 8.49m

Therefore, the height of the triangular sides (height of the lateral face) is approximately 8.49 meters.
but u said 9
Apologies for the confusion. Let's correct that.

In a rectangular pyramid, the slant height is the height of one of the triangular faces. In this case, the slant height is given as 9m. Therefore, to find the height of the triangular sides, you will use the slant height which is 9m. Thank you for pointing that out.
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