Question

Find AM form the given figure if AB=8, AC=10, BM=7, CM=5​

Answer 1

Answer:

In the given figure, let CE=CF=x

It is also given that AB=12 cm, BC=8 cm and AC=10 cm, therefore, 

AF=AD=10−x

BE=BD=8−x

Now consider,

AB=AD+BD⇒12=10−x+8−x⇒12=18−2x⇒2x=18−12⇒2x=6⇒x=26=3

Therefore, CE=x=3 cm, AF=10−3=7 cm and BD=8−3=5 cm

Hence, CE=3 cm, AF=7 cm and BD=5 cm.