Question

Geometry questionnn!

Answer 1

Answer:

88 units

Step-by-step explanation:

$In\: \triangle OBR \:\&\: \triangle OWN$

BR || WN (Given)

Therefore,

$\angle OBR \cong \angle OWN$ (Alternate angles)

$\angle BOR \cong \angle WON$ (Vertical angles)

$\therefore \triangle OBR \sim \triangle OWN$ (AA postulate)

$\therefore \frac{OR}{ON} =\frac{BR}{WN}$ (csst)

$\therefore \frac{OR}{56} =\frac{24}{42}$

$\therefore \frac{OR}{56} =\frac{4}{7}$

$\therefore OR =\frac{4\times 56}{7}$

$\therefore OR ={4\times 8}$

$\therefore OR =32$

RN = OR + ON

RN = 32 + 56

RN = 88 units