Question

How far is the bottom of the ladder from thebottom of the wall? Use the PythagoreanTheorem to determine the solution. Explain howyou found your answer.

Answer 1

The Pythagorean Theorem is

`c^2=a^2+b^2`

where

c=hypotenuse=13

a=12

b=x

then we substitute the values

`13^2=12^2+x^2`

then we isolate the x

`\begin{gathered} x=\sqrt[]{13^2-12^2} \\ x=\sqrt[]{169-144} \\ x=\sqrt[]{25} \\ x=5 \end{gathered}`

The bottom of the ladder is 5m far from the bottom of the wall