In right \(\Delta ABC,\) \(\angle CAB\) is a right angle. Point M is the midpoint of BC. What is the number of centimeters in the length of median AM? Express your answer as a decimal to the nearest tenth.

Lightning
Nov 4, 2018

#1**+1 **

The median of a right triangle drawn to the hypotenuse from the right angle has the same measure as 1/2 of the hypotenuse

We have a 3 - 4 - 5 right triangle wth BC as the hypotenuse = 5

So MB = AM = (1/2) * 5 = 2.5

The diagonals of a rectangle are congruent and bisect each other....

CPhill
Nov 4, 2018

#2**+1 **

Slight correction 2.5 not 2/5 as cphil found (or maybe he meant 5/2 instead of 2/5)

ElectricPavlov
Nov 4, 2018

edited by
Guest
Nov 4, 2018