What is the area of the square that shares a side with the third side of the triangle?

A = 20 unit^2

Step-by-step explanation:

We can find the length of the hypotenuse using the Pythagorean theorem

a^2 + b^2 = c^2

2^2 + 4^2 = c^2

4+16 = c^2

20 = c^2

Taking the square root of each side

sqrt(20) =c

We want to find the area of the square

A = s^2  where s is the side length

A = (c^2)

A = (sqrt(20))^2

A = 20 unit^2