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

What is the area of the square that shares a side with the third side of the triangle-example-1

1 Answer

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Answer:

A = 20 unit^2

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

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