Question

Beyunka is creating a diagram to prove that a certain triangle is a right triangle. In her diagram, she uses three white quadrilaterals that are squares. Which diagram could be the one that beyunka is creating ?

Answer 1

In a right triangle the hypotenusa squared is equal to the sum of the legs squared (Pythagoras theorem)

$c^2=a^2+b^2$

Then, the leg b can be writen also as:

$\begin{gathered} b^2=c^2-a^2 \\ b=\sqrt[]{c^2-a^2} \end{gathered}$Then, the correct answer is the option D