Triangle ABC is formed by the vertices A(1,2,-1), B(-3,-6,2)and C(3,-2,0). If D is the midpoint of BC, the the length (distance) of AD.
write the midpoint
write the distance

Point D:

d = √41

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Pre-Calculus

Midpoint Formula [3D]: Distance Formula [3D]:

Step-by-step explanation:

Step 1: Define

Point A(1, 2, -1)

Point B(-3, -6, 2)

Point C(3, -2, 0)

Step 2: Find Point D

Simply plug in your coordinates B and C into the midpoint formula to find midpoint

Substitute [MF]:                    Add/Subtract:                       Divide:                                  

Step 3: Find distance d

Simply plug in the 2 coordinates A and D into the distance formula to find distance d

Substitute [DF]:                    Subtract/Add:                       Exponents:                           Add:                                      

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