Question

$HELP$ is a parallelogram, given $OE=4cm$ and $HL$ is $5cm$ more than $PE$. Find $OH$

Answer 1

Given: A parallelogram $HELP$ having $OE=4$cm and $HL=PE+5$

We know that the diagonals of a parallelogram bisect each other.

$OP=OE=4$cm

$\therefore PE=OP+OE=4+4=8$cm

Given:$HL=PE+4=8+5=13$cm

Now, diagonals of a parallelogram bisect each other.

$\therefore OH=OL=\frac{1}{2}\times HL=\frac{1}{2}\times 13=6.5$cm