Question

In triangle ABC measure angle B =90 and BM is altitude. If AB = 4 root 6, AM = 8 the find AC.

Answer 1

in ∆le BMA by pythagoras theorem

8^2+AM^2 = (4√6)^2

64+AM^2 = 96

AM ^2 = 96-64

AM^2 =32

AM = √32

AM =4√2

we also know that

BM^2 = AM × MC

8^2 = 4√2 × MC

MC = 64/4√2

MC = 16/√2

MC = 16√2/2

MC = 8√2

AC = AM +MC

AC= 4√2 + 8√2

AC= 12√2

Answer 2

Answer:

yes this is the correct answer