Question

PQRS is a rectangle with sides 3cm and 4cm. If its diagonals cross at O, calculate the length of PO.

Answer 1

Answer:

$here \: \\ \: \: \: \: \: \: \: \: pq = 4cm \\ \: \: \: \: \: \: \: \: qr = 3cm \\ by \: pythagorous \: theorem \: \\ = > {pr}^{2} = {pq}^{2} + {qr}^{2} \\ = > {pr}^{2} = {4}^{2} + {3}^{2} \\ = > {pr}^{2} = 25 \\ = > pr = 5 \\ \\ we \: know \: \\ = > po \: = \frac{1}{2} pr \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{2} \times 5 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2.5cm$