Question

In parallelogram RNCS, BC and AR are perpendicular to diagonal NS, and AB = 10 ft. If NS = 28, then how long are BN and AS?

Answer 1

triangle RAS and triangle CBN are congruent by AAA property.
So, BN=AS =x(say) (corresponding sides of congruent triangles)
AB + AS + BN =NS
10 + x + x =28
x=9 ft. =AS =BN