In parallelogram KLMN if MP=19 find MK

Mathematics

1 answer:

Oksanka [162]1 year ago

3 0

Given a parallelogram

Theorem: the diagonals of a parallelogram bisects each other

Thus

$\begin{gathered} |MP|=|PK| \\ \text{therefore} \\ |MK|=|MP|+|PK| \end{gathered}$ $\begin{gathered} \text{ |MP|=19} \\ \text{thus, |PK|=19} \\ |MK|=19+19=38 \end{gathered}$

Hence, the measure of line MK is 38

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