Question

Persuade Mr. Zion whether the numbers 12,16,and 20 make a right triangle or not. Make sure to state reasons for and against your belief

Answer 1

we can corrobarate this using pythagorean theorem:

$\begin{gathered} c^2=a^2+b^2 \\ \text{where:} \\ c>a,c>b \end{gathered}$

Let:

$\begin{gathered} a=12 \\ b=16 \\ c=20 \\ 20^2=12^2+16^2? \\ 400=144+256 \\ 400=400 \\ \end{gathered}$

since the equality is satisfied, we can conclude that it is possible to make a right triangle using those numbers