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GeoGebraGeoGebra Classroom

Angle btw line and plane, dihedral angle

Problem 1:

Given an isosceles triangle ABC with leg equals 9 cm and base AC=12 cm.  The leg AB belongs to a plane .  2 : 1 is the ratio of the orthogonal projections of the other sides  on .  Find the length of both projections and the angle between ( ; (ABC))

Problem 1:

Problem 2:

Given a pyramid ABCDM with base ABCD - isosceles trapezoid. The perimeter of ABCD equals 32 cm and . All lateral faces determine angles to the base. Find the altitude of the pyramid

Problem 2:

Problem 3:

Given pyramid ABCDM with base ABCD - trapezoid. , , , Find =?

Problem 3:

Problem 4:

Given a regular quadrilateral pyramid ABCDE with base ABCD. If BD= and , find the slant edge.

Problem 4:

Problem 5:

- regular prism. If , , find the distance from B1 to (ACD1)

Problem 5: