Step 1:
The theorem of Pythagorean triple
The square of the longest side must be equal to the sum of the square of the two other sides.
Step 2
Solve the equation to determine if it is a right angle triangle
[tex]\begin{gathered} c^2=a^2+b^2 \\ c\text{ = }65 \\ \text{a = }33 \\ \text{c = 56} \end{gathered}[/tex]
Step 3:
Substitute the values
[tex]\begin{gathered} 65^2=56^2+33^2 \\ 4225\text{ = 3136 + 1089} \\ 4225\text{ = 4225} \end{gathered}[/tex]
Final answer
The values represent an actual right triangle
Actual right triangle
