Question

Determine whether the given side represents an actual right or obtuse triangle

Answer 1

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

`\begin{gathered} c^2=a^2+b^2 \\ c\text{ = }65 \\ \text{a = }33 \\ \text{c = 56} \end{gathered}`

Step 3:

Substitute the values

`\begin{gathered} 65^2=56^2+33^2 \\ 4225\text{ = 3136 + 1089} \\ 4225\text{ = 4225} \end{gathered}`

Final answer

The values represent an actual right triangle

Actual right triangle