Question

Suppose PQ has P(a,b) and midpoint M(c,d). What is an expression for PM? Use the expression for PM to find an expression for PQ.

PM= ________

Answer 1

`PM = √((a - c)^2 + (b-d)^2)`

Explanation:

Relevant data provided as per the requirement of question is shown below:-

M(c,d)is a midpoint of PQ

PM = MQ

The expression for PM to find an expression for PQ is shown below:-

Where,

`PM = √((a - c)^2 + (b-d)^2)`

Which is equals to MQ

and

`MQ = √((a - c)^2 + (b - d)^2)`

For more clarification, the diagram has been presented below:-

I______I______I

P M Q

(a,b) (c,d)