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An artist is creating tiles to use in a project. Each tile is to be in the shape of a right triangle. The shortest side of a tile is to be 4 inches long. The next shortest side is to be x inches long.

Enter an expression in terms of x that models the longest side of a tile.

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Answer:

4 + x

Step-by-step explanation:

Given that :

Shortest side of tile (s) = 4 inches

Next shortest side (a) = x inches long

Longest side of tile (l ) =?

Since it is modeled in the form of a right angjed triangle ; then we can use Pythagoras rule ;

Length of longest side² = sum of the square of the two other sides

l² = 4² + x²

l² = 16 + x²

Take the square root of both sides

l = 4 + x

Hence, length of longest side = 4 + x

yoodyannapolis

Expression in terms of x that models the longest side of a tile is 4 + x

We have

The shortest side of tile  = 4 inches

Other shortest side = x inches

As the tiles is to be in the shape of a right triangle.

So, we can use Pythagoras theorem

Length of longest side² = sum of the square of the two other sides

[tex]a^2= 4^2 + x^2\\a^2 = 16 + x^2[/tex]

Taking the square root on both sides, we get

[tex]a = 4 + x[/tex]

Therefore, length of longest side = 4 + x

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