When finding the surface area of the rectangular pyramid, the measurement for the pyramid is what dimension will be used to find the height of the triangular sides?(1 point) 8.8,9 ,2,6
3 answers
In order to find the height of the triangular sides of a rectangular pyramid, you will need to know the base dimensions of the pyramid. In this case, the dimensions provided (8.8, 9, 2, 6) do not specify the length, width, and height of the base of the pyramid. Therefore, it is not possible to determine the height of the triangular sides using the given dimensions.
Left side is 8.8 cm bottom is 6cm bottom right 2cm right side 9cm
To find the height of the triangular sides of the rectangular pyramid, you can use the Pythagorean theorem since the sides form a right triangle.
Let's consider the base of the pyramid as a rectangle with dimensions 6 cm (bottom) and 9 cm (right side). The diagonal of this rectangle (which will be the slant height of the triangular side) can be found using the Pythagorean theorem:
Diagonal^2 = 6^2 + 9^2
Diagonal^2 = 36 + 81
Diagonal^2 = 117
Diagonal ≈ √117
Diagonal ≈ 10.82 cm
Now, the height of the triangular side is the vertical line from the top vertex of the pyramid to the center of the base rectangle. This can be found using the Pythagorean theorem in a right triangle formed by the diagonal (10.82 cm), half the base (3 cm), and the height of the triangle (h).
Using the Pythagorean theorem:
h^2 = 10.82^2 - 3^2
h^2 = 117.1124 - 9
h^2 = 108.1124
h ≈ √108.1124
h ≈ 10.4 cm
Therefore, the height of the triangular sides of the rectangular pyramid is approximately 10.4 cm.
Let's consider the base of the pyramid as a rectangle with dimensions 6 cm (bottom) and 9 cm (right side). The diagonal of this rectangle (which will be the slant height of the triangular side) can be found using the Pythagorean theorem:
Diagonal^2 = 6^2 + 9^2
Diagonal^2 = 36 + 81
Diagonal^2 = 117
Diagonal ≈ √117
Diagonal ≈ 10.82 cm
Now, the height of the triangular side is the vertical line from the top vertex of the pyramid to the center of the base rectangle. This can be found using the Pythagorean theorem in a right triangle formed by the diagonal (10.82 cm), half the base (3 cm), and the height of the triangle (h).
Using the Pythagorean theorem:
h^2 = 10.82^2 - 3^2
h^2 = 117.1124 - 9
h^2 = 108.1124
h ≈ √108.1124
h ≈ 10.4 cm
Therefore, the height of the triangular sides of the rectangular pyramid is approximately 10.4 cm.
1 answer