so you are going to use the Pythagorean theorem on the smaller triangle to find the connecting side's length

now you can find the bigger triangle's hypotenuse

c=4
Trial and error specifies that you should guess the value of m and see if you aimed too low too high then adjust your next guess based on that.
Suppose we don't already know what m is (even though it is completely obvious), let's pick m to be 6,
So we check,
but
which means m must be bigger.
So we pick m to be 8 and check,
but
which means m must be smaller.
Since only natural number between 6 and 8 is 7 we pick m to be 7 and check,
and
.
The answer is therefore 7.
Hope this helps :)
Ok, lets start with the basics:
the distibutive property is very simple once you get used to it!
distibutive just means when you both multiply and add in the same problem( mostly with Peranthisys.
lets start with a basic problem:
5(3+4)
because you have the five bumped up against the peranthysys, you "distribute" the problem (you multiply 5 by the numbers present.
for example, once you multiply, you should get this:
5(3+4)
15+20
all i did was multiply the numbers inside! now the Peranthisys disapear!
now all you do is add!
15+20=35
35 is your answer.
NOTE:This is just simple distributing, once variables get involved, it changes a little...
Hope this helps!!!