Question

square p
square q
square r
what statement is true?
the sum of the areas of - choose the correct answer - is - choose the correct answer - the area of - choose the correct answer -

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, if the legs have lengths $a$ and $b$, and the hypotenuse has length $c$, then $a^2 + b^2 = c^2$.

Step2: Relate to square areas

Let the side length of Square P be $a$, so its area is $a^2$. Let the side length of Square Q be $b$, so its area is $b^2$. Let the side length of Square R be $c$, so its area is $c^2$. The sides of the squares correspond to the sides of the right triangle, so $a^2 + b^2 = c^2$.

Step3: Translate to area statement

This means the sum of the areas of Square P and Square Q equals the area of Square R.

Answer:

The sum of the areas of Square P and Square Q is equal to the area of Square R