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
