Question

In parallelogram KLMN if MP=19 find MK

Answer 1

Given a parallelogram

Theorem: the diagonals of a parallelogram bisects each other

Thus

`\begin{gathered} |MP|=|PK| \\ \text{therefore} \\ |MK|=|MP|+|PK| \end{gathered}`
`\begin{gathered} \textMP \\ \textthus, \\ |MK|=19+19=38 \end{gathered}`

Hence, the measure of line MK is 38