Question

If P is the midpoint of ST, SP=x+12 and PT=4x, determine the length of ST

Answer 1

Answer:

5x - 12

Step-by-step explanation:

If P is the midpoint of Line ST, then Lines SP and PT equal ST.

$SP=x+12\\PT=4x\\SP+PT=x-12+4x\\SP+PT=5x-12\\ST=5x-12$

Answer 2

Answer:

ST = 32

Step-by-step explanation:

Since P  is the midpoint of ST , then

SP = PT , that is

x + 12 = 4x ( subtract x from both sides )

12 = 3x ( divide both sides by 3 )

4 = x

Then

ST = SP + PT = x + 12 + 4x = 5x + 12 , so

ST = 5(4) + 12 = 20 + 12 = 32