Question

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.

Answer 1

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