Question

If you have a square that has sides measuring 5 inches what is the measure of its diagonal​

Answer 1

5
`√(2)`.

Explanation:

The angles of a square are right angles. If you draw a diagonal, you'll see that it forms a right triangle. Since the sides of a square are congruent, the right triangle will be a 45-45-90 right triangle. The hypotenuse of a 45-45-90 right triangle is
`√(2)` times the length (5) .

The measure of the hypotenuse is 5
`√(2)`.

The hypotenuse = diagonal.

The diagonal is 5
`√(2)`.

Answer 2

5√2 Inches

Explanation:

By definition of a square, all it's sides are the same measurement (typically signified by the variable s on all sides).

In a triangle (as with a intersection from one corner to the other (diagonal), It would create a right triangle. Remember, the two leg sides are the same measurement (typically placed as 1). There is one triangle side measurement rule:

1 , 1 , √2

Plug in the corresponding numbers to the corresponding units. the 5 inches is a side (not the hypotenuse), so it belongs in the 1:

1 x 5 = 5

1 x 5 = 5

√2 x 5 = 5√2

The measurement of it's diagonal (hypotenuse) is 5√2.

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