Question

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Which expression is equivalent to the area of square A, in square inches?​

Answer 1

`{10}^(2) + {24}^(2)`

Explanation:

Let side of the square be a

Now, let's find:

Hypotenuse ( h ) = a

Perpendicular ( p ) = 10

Base ( b ) = 24

Applying Pythagoras theorem in the right triangle formed by the square:

`{h}^(2) = {p}^(2) + {b}^(2)`

plug the values

`{a}^(2) = {10}^(2) + {24}^(2)`

Hope this helps..

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Answer 2

10² + 24²

Explanation:

The diagram illustrates Pythagoras' identity.

The square on the hypotenuse of a right triangle is equal t o the sum of the squares on the other 2 sides.

A is the square on the hypotenuse, thus

A² = 10² + 24²