Let ABC be a right triangle at A, AB=6cm, BC=10cm. The interior and exterior bisectors at vertex B intersect AC at M and N respectively. Calculate BM and BN.

The graph shows the distance y, in inches, a pendulum moves to the right (positive displacement) and to the left (negative displacement), for a given number of seconds x. how many seconds are required for the pendulum to move from its resting position and return? enter your answer in the box.