Question

A student is making a project that requires a large triangular base. The student has two pieces of wood that are 20in and 17in long. The student asks his parents to cut a third piece of wood to create the base. What is the range of lengths the third piece of wood can be?
___< x < ___

Answer 1

Answer:

Write a short story about a character who experiences a turning point in life. Use this Writing Plan/Graphic Organizer below to format (construct) your story. It must also be submitted with your short story and I will issue you two separate grades (one for the organizer one for the write-up).

Start with a writing plan (organizer)

1. Title - Your choice

2. Audience - Classmates and teacher

3. Theme - Your choice

4. Purpose - To entertain, share insight

5. Time Frame - Start today and due on 11-7-20 at 11:59 pm

6. Beginning - Introduce characters etc.

7. Middle - Turning point

8. End - Resolution

Use a minimum 150 words

Step-by-step explanation:

Write a short story about a character who experiences a turning point in life. Use this Writing Plan/Graphic Organizer below to format (construct) your story. It must also be submitted with your short story and I will issue you two separate grades (one for the organizer one for the write-up).

Start with a writing plan (organizer)

1. Title - Your choice

2. Audience - Classmates and teacher

3. Theme - Your choice

4. Purpose - To entertain, share insight

5. Time Frame - Start today and due on 11-7-20 at 11:59 pm

6. Beginning - Introduce characters etc.

7. Middle - Turning point

8. End - Resolution

Use a minimum 150 words

Answer 2

The range of lengths the third piece of wood would be  3 < x < 37 .

Using triangle inequality theorems,  which states that the sum of two side lengths of a triangle is always greater than the third side.

Therefore,

A triangle with sides x, y  and z will be as follows;

x + y > z

x + z > y

y + z > x

Therefore, for the woods to form a triangular piece. The third length will be in the range 4 inches to 36 inches.  

Let's text the rules for the end points

20 inches + 17 inches > 4 inches

20 inches + 4 inches  > 17 inches

17 inches + 4 inches > 20 inches

20 inches + 17 inches > 36 inches

20 inches + 36 inches > 17 inches

17 inches + 36 inches > 20 inches

Therefore, the range of length for the third piece of wood  would be  

3 < x < 37

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