Question

What conclusion can be drawn by applying the Pythagorean Theorem to this triangle?

Answer 1

Given: A right triangle ABC with AC=5 units and BC=12 units.

Required: To find out what conclusion can be drawn by applying the Pythagorean Theorem to this triangle.

Explanation: Applying the Pythagoras Theorem to triangle ABC gives,

`(AB)^2=(BC)^2+(AC)^2`
`(AB)^2=(12)^2+(5)^2`
`(AB)^2=144+25`
`\begin{gathered} AB=√(169) \\ AB=13\text{ units} \end{gathered}`

Final Answer: Option C is correct.