Question

please see the picture and answer

Answer 1

using Pythagoras theorem, AC^2=AB^2+BC^2
THEREFORE AC^2=6^2+8^2
AC^2=36+64
AC^2=100
SO AC WILL BE EQUAL TO 10
IF YOU USE HERONS FORMULA,
AREA OF A TRIANGLE WILL BE, √S(S-A)(S-B)(S-C)
WHERE S=(8+6+10)/2  =12CM
A=6CM
B=8CM
C=10 CM
THE AREA WILL BE 24 CM
WE KNOW THAT AREA OF A TRIANGLE IS ALSO EQUAL TO
1/2* BASE*HEIGHT
THEREFORE AREA= 1/2*AC*BN
24=1/2*10*BN
5BN=24
THEREFORE BN=24/5=4.8CM

Answer 2

see your answer is in the image