Question

Чи можуть бічні ребра піраміди бути рівними, якщо в її основі лежить: а) прямокутник;б) ромб (відмінний від квадрата); в) правильний шестикутник;г) трапеція?

Answer 1

Ответ:

ребра піраміди будуть рівні тільки з основою в) правильний шестикутник

Объяснение:

сподіваюся я допомогла)

Answer 2

Ответ:в

Объяснение:формула

Answer 3

Can the lateral edges of a pyramid be equal if its base is:

a) a rectangle; b) a rhombus (different from a square); c) a regular hexagon; d) a trapezoid?

The lateral edges of a pyramid can be equal if its base is a rectangle, a rhombus (different from a square), a regular hexagon, or a trapezoid. The key factor in determining the equality of the lateral edges is the congruence of the corresponding lateral faces of the pyramid.

Let's examine each case:

a) If the base of the pyramid is a rectangle, the lateral edges can be equal if the corresponding lateral faces are congruent rectangles. In this case, the height of the pyramid will be perpendicular to the base and will bisect the lateral edges.

b) If the base of the pyramid is a rhombus (different from a square), the lateral edges can be equal if the corresponding lateral faces are congruent rhombi. Again, the height of the pyramid will be perpendicular to the base and will bisect the lateral edges.

c) If the base of the pyramid is a regular hexagon, the lateral edges can be equal if the corresponding lateral faces are congruent trapezoids. The height of the pyramid will be perpendicular to the base and will bisect the lateral edges.

d) If the base of the pyramid is a trapezoid, the lateral edges can be equal if the corresponding lateral faces are congruent trapezoids. The height of the pyramid will be perpendicular to the base and will bisect the lateral edges.

In summary, the lateral edges of a pyramid can be equal if the corresponding lateral faces are congruent, regardless of the shape of the base.