Answer: 50 millimeters
Step-by-step explanation:
The Pythagoras theorem of right triangle say that the longest side is equal to the sum of the squares on the other two sides in the triangle.
The side opposite to the right angle is the longest side of the right triangle.
Given : A right triangle ABC is right angle at B.
The length of side AB = 14 mm
The length of side BC = 48 mm.
If B is the right angle , then the side Ac is the side opposite to angle B which must be the longest side of the triangle .
Then by using the Pythagoras theorem, we have
[tex]AC^2=AB^2+BC^2\\\\\Rightarrow\ AC^2=(14)^2+(48)^2\\\\\Rightarrow\ AC^2=2500\\\\\Rightarrow\ AC=\sqrt{2500}\\\\\Rightarrow\ AC=50[/tex]
Hence, the the length of side AC of the triangle = 50 millimeters
