if line MS is a median of triangle MNQ. Line QS equals 3a-14, line SN equals 2a + 1, and the measurment of angle MSQ equals 7a+1, find the value of a. Is line MS also an altitude of triangle MNQ?

1 answer

If MSS is a median it bisects NQ and NS = QS
2a + 1 = 3a-14
-a = -15
a = 15

I will assume your measure of angle MSQ is in degrees,
so angle MSQ = 7(15) + 1 = 106°

If MS would be an altitude, angle MSQ would have to be 90°
Since it it not, ........