Solid geometry › Polyhedra and sections › Angles in pyramids

Area ratio of faces in a pyramid

High school · ●●●○○ 50 pts

The height of the triangular pyramid ABCDABCD, dropped from vertex DD, passes through the point of intersection of the heights of triangle ABCABC. In addition, it is known that DB=3DB=3, DC=2DC=2, ∠BDC=90∘\angle BDC=90^{\circ}. Find the ratio of the area of face ADBADB to the area of face ADCADC.

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orthogonal projectiontriangle arearight triangles