Right triangles geometry really difficult can anyone help?

Question

Please give an answer and a explanation if you can pleaseeee

Answer 1

 Right Triangle ABC: 

  Angle B = 90, BC = 4,  AB = AC 

 10) 

 AB = 4√2

11) 

 AC = 4√2

 

 Right Triangle ABC:

 Angle B = 90, BC = 16, AB = AC 

12) 

 AB = 8√2

13)

 BC = 8√2

Answer 2

The Triangle ABC is a right - triangle and is also an Isosceles Triangle, because AB = BC ( Hatched lines) 

Then using Pythagoras 

AC^2= AB^2 + 4^2 

 Since AB = BC 

Then we can say 

AC^2 = 4^2 + 4^2

AC^2 = 16 + 16 

AC^2 = 32 

AC = sqrt(32) = 4sqrt(2)  ( Simplified Radical form ).

From above AB = 4 

Similarly 

16^2 = AB^2 + BC^2 

16^2 = 2AB^2 

16 = ABsqrt(2)

AB = 16sqrt(2) / 2 = 8sqrt(2) 

Since AB = BC , then BC = 8sqrt(2)  

Answer 3

If you only know one side, it is impossible.