Question

Please help with this linear algebra question!!

Answer 1

Answer:

10.92

Step-by-step explanation:

1. Find all side lengths of this tetrahedron.

A to B is 2 units

A to C is 2 units

A to D is 2 units

B to C is square root of 8

B to D is square root of 8

C to D is square root of 8

See 3D distance formula attached below to get the answers above.

2. Find the area of the triangles

Triangle ACD can be calculated using Heron’s formula, which is also attached below.

Area of Triangle ACD is 2 units squared.

Area of Triangle ABD is congruent to the previous one so it is also 2 units squared.

Area of Triangle CBD is roughly 3.46 units squared.

Area of Triangle ABC is congruent to Triangle CBD so it is also 3.46 units squared.

Adding them altogether is 2 + 2 + 3.46 + 3.46 = 10.92