ANSWER
Length of the shorter leg: 3 m
Length of the longer leg: 4 m
Step-by-step explanation
Let the length of the longer leg be x.
First, let us make a sketch of the problem:
We can find the value of x by applying the Pythagoras rule:
where c = length of the hypotenuse
a, b = length of the other two legs
Hence, we have that:
Solve for x by factorizing:
Since the length of the leg of a triangle cannot be negative, we have that:
Hence, the length of the shorter leg is:
Therefore, the length of the shorter leg is 3 m and the length of the longer leg is 4 m.