Answer: 6.1m
We’re going to call the unknown side: side B
We can cut the shape to make it into a triangle and a rectangle if you make a straight line where 7.3m and 4m meet
From that, we can decipher that the base of the triangle (we’re going to call side A) is 8-4 which equals 4. Now we know 2 things about our triangle. We know the base (side A) is 4m and the hypotenuse (we’re going to call side C) is equal to 7.3m.
With that information, we can plug it into the pythagorean theorem: a^2+b^2=c^2 and rearrange it to solve for the missing side, which in this case is side B.
Rearranged equation: c^2-a^2=b^2
Now plug in our numbers: 7.3^2-4^2=b^2
Now solve:
7.3^2-4^2=b^2
(53.3)-(16)=b^2
37.3=b^2
We’re looking for the value of B not B^2, so to get rid of the “^2” just square root both sides.
√37.3=√b^2
6.1=B
Therefore, the missing side length is 6.1m