Chapter 9.2, Problem 39E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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*Exercise 39 and 40 are based upon the “uniqueness of volume.”*

A tetrahedron (not rectangular) has vertices at

**a)** Find the volume of the pyramid.

**b)** Find the length of the altitude from vertex

To determine

**(a)**

**To find:**

The volume of the pyramid.

Explanation

**Given:**

A tetrahedron (not rectangular) has vertices at

**Properties Used:**

The volume

Area of a right-angled triangle is

**Approach Used:**

i) Calculate the area of the base triangle.

ii) Substitute the values of area

**Calculation:**

From the given figure

the altitude is

To determine

**(b)**

**To find:**

The length of the altitude from vertex

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