Question

James uses this diagram to explain what the Pythagorean theorem. Pick the correct explanation

Answer 1

Step 1

Define the Pythagorean theorem

It states in a right-angled triangle, the square of the hypothenuse side is equal to the square of the sum of the other 2 sides.

Step 2

Draw a conclusion from the definition

The sum of the areas of the two smallest squares is equal to the sum of the area of the largest square

`\begin{gathered} \text{Area of smaller squares are} \\ 3*3=9unit^2 \\ 4*4=16unit^2 \\ \text{Area of bigger square = 5}*5\text{ = 25} \\ \text{Hence} \\ 25\text{ = 9+16} \\ 25unit^2=25unit^2 \end{gathered}`

Hence the right answer is option B