Mathegoras

Solid geometry › Polyhedra and sections › Angles in pyramids

Area of triangle BDE in space

High school · ●●●○○ 50 pts

Points AA, BB, CC, DD, and EE are located in 3-dimensional space with AB=BC=CD=DE=EA=2AB= BC= CD= DE= EA= 2 and ∠ABC=∠CDE=∠DEA=90∘\angle ABC = \angle CDE = \angle DEA = 90^\circ. The plane of triangle ABCABC is parallel to DE‾\overline{DE}. What is the area of triangle BDEBDE?

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right trianglesdistance in 3Dtriangle area