Question

the figure is used as part of a visual description of an algebraic statement. Which of the following can be that algebraic statement?
A.a^2 +b^2=c^2
B.1/2 (a+b) =c
C.a•b=c
D.a^2•b^2=c^2

Answer 1

Answer: A.

Step-by-step explanation:

Answer 2

The correct algebraic statement is $a^{2} +b^{2} =c^{2}$.

Pythagoras Theorem:

It states that "the sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c)" i.e.

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

According to the given question

By Pythagoras theorem we can say that the algebraic statement A i.e.$a^{2} +b^{2} =c^{2}$ is the correct one for the description of given figure.

Hence, option A  i.e. $a^{2} +b^{2} =c^{2}$  is the correct option.

Learn more about Pythagoras Theorem here:

https://brainly.com/question/343682

#SPJ2