Answer:
The missing side is 13 units.
Step-by-step explanation:
The given triangle is a right triangle. We will use Pythagoras theorem to find the missing side.
[tex]a^{2}+b^{2}=c^{2}[/tex]
or
[tex]a^{2}=c^{2}-b^{2}[/tex]
a=[tex]\sqrt{85^{2}-84^{2}}[/tex]
=> [tex]\sqrt{7225-7056}[/tex]
= [tex]\sqrt{169}[/tex]
So, a = 13 units.
We can check this by calculating [tex]13^{2} +84^{2}=85^{2}[/tex]
[tex]169+7056=7225[/tex]
=> [tex]7225=7225[/tex]
Hence, the missing side is 13 units.
