You have two pieces of wood that will make up two sides of a triangular picture frame. one is 6 in. long and the other is 7 in. long. what is the range of the possible lengths for the third side of the frame?

13 > L > 1

Step-by-step explanation:

We have two pieces of wood, one is 6 inches long and the other is 7 inches long. They make two sides of a triangle.

Now, we have to get what will be the third side.

The length of the third side will be maximum when the angle between the sides of 6 in and 7 in will be close to 180°.

Therefore, the maximum length of the third side should be < (6 + 7) i.e. 13 inches.

Again, the length of the third side will be minimum when the angle is close to 0°.

That means the minimum length of the third side will be > (7 - 6) i.e. 1 inch.

Therefore, the range of length (L) of the third side is 13 > L > 1. (Answer)

step-by-step explanation: