Answer:
The third side is 3
Explanation:
The given triangle is a right-angled triangle. Pythagoras theorem can be used to find the third side of the triangle.
Pythagoras theorem states that:
![(Hypotenuse)^2 = (Base)^2 + (Perpendicular)^2](https://img.qammunity.org/2021/formulas/mathematics/high-school/m2756sobmt3woyu4ben29ydd7htfrbwlmq.png)
Given
Base = 4
Hypotenuse = 5
Putting the values in the formula
![(5)^2 = (4)^2 + (Perpendicular)^2\\25 = 16 + (Perpendicular)^2\\25-16 = (Perpendicular)^2\\(Perpendicular)^2 = 9](https://img.qammunity.org/2021/formulas/mathematics/high-school/ssiwsu7sm456bnv9zycaq24la5vpzgkebz.png)
Taking square root on both sides
![√((Perpendicular)^2) = √(9)\\Perpendicular = 3](https://img.qammunity.org/2021/formulas/mathematics/high-school/o7eysepcfgz6opdrepxom8kpl2b7qpwwb8.png)
The third side is 3