Isaac I.

asked • 21d

Could someone help me with this?

A tetrahedron (not rectangular) has vertices at ABC, and D. The length of the altitude from A to the base (△BCD) measures 6 in. It is given that m∠BCD = 90°,

 BC = 4 in.,

 and CD = 9 in.

A tetrahedron has the following four triangular faces: △A B D, △A C D, △A B C, and △B C D. ∠C of △B C D is labeled as a right angle.

(a)

Find the volume (in cubic inches) of the pyramid.

 in3

(b)

Find the length (in inches) of the altitude from vertex D to the base (△ABC); note that AABC = 12 in2.


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