What is the answer to the equations

We have that

1) triangle
a=3
b=5
c=?
applying the Pythagoras theorem
c²=a²+b²> 3²+5²=34
c=√34
the answer part N 1) is c=√34

2) triangle
a=?
b=6
c=8
applying the Pythagoras theorem
c²=a²+b²> a²=c²-b²> 8²-6²> a=√28
a=√28
the answer part N 2) is a=√28

3) triangle
a=?
b=3
c=√15
applying the Pythagoras theorem
c²=a²+b²> a²=c²-b²> √15²-3²> a=√6
a=√6
the answer part N 3) is a=√6

4) triangle
a=5
b=6
c=13
c²> 13²=169
a²+b²> 5²+6²=61
c²> (a²+b²)> the triangle is obtuse

5) triangle
a=5
b=12
c=13
c²> 5²=25
a²+b²> 12²+13²=313
c²< (a²+b²)> the triangle is acute

6) triangle
a=9
b=11
c=13
c²> 9²=81
a²+b²> 11²+13²=61
c²> (a²+b²)> the triangle is obtuse

N 8) the base of a ladder is placed 6 feet from a wall. If the top  of the ladder is at a point 8 feet high, how long is the ladder?
we have that
a= 8 ft
b=6 ft
c=?
applying the Pythagoras theorem
c²=a²+b²> 8²+6²> √100> c=10 ft
c=10 ft
the answer part N 8) is 10 ft

N 9) Amy laptop computer has a 15 inch diagonal and is 14 inch wide. Determine the height of the screem
we have that
a=?
b=14 in
c=15 in
applying the Pythagoras theorem
c²=a²+b²> a²=c²-b²> 15²-14²> a=√29> a=5.39 in
a=5.39 in
the answer part N 9) is a=5.39 in

N 10)
we have that
a= 5
b=12
c=?
applying the Pythagoras theorem
c²=a²+b²> 5²+12²> √169> c=13 blocks
c=10 ft
the answer part N 10) is 13 blocks