Semester A Unit 4 Lesson 5:

Cool Crafts Portfolio Template

Choose a room you would like to decorate:
My Bed room
Measure the length of one wall in inches: 72

2. Choose a size of paper to use.
*I recommend just using a standard 8.5 inch by 11 inch piece of paper. Then fold it diagonally and cut it to make a square.

*Once you cut off the bottom portion of the rectangular, the sides of the square will each be 8.5 inches. If you would like, you can cut 0.5 inch off the top of the square and 0.5 off the right side of the square to make it 8 inches by 8 inches. That is optional.

3. Cut the square in half along the diagonal to form two paper triangles. These will be your pennant flags.

4. Measure the diagonal of the triangle: ____________________________________
Use the Pythagorean Theorem ( a^2+b^2=c^2) to determine the length of the diagonal (hypotenuse):
__________________________________________________________________________________________________________________________________________________________________________
*Your actual measurement and your Pythagorean Theorem answer should be the same or very similar.

5. Divide the actual length of the room (measurement from Step 1), by the length of the hypotenuse:
______________________________________________________________________________________________________________________________________
*That is how many triangles you will need to create your “string of pennant flags”.
How many flags will you need to cover the entire length of the wall? ___________

So I'm the dude who asked this yesterday, but I just need some help with question 4

hello sooo I need a friend ;(

Is this for connexus, right?

Choose a room you would like to decorate:

_My Bed room___________________________
Measure the length of one wall in inches: ___72_______________________

2. Choose a size of paper to use.
*I recommend just using a standard 8.5 inch by 11 inch piece of paper. Then fold it diagonally and cut it to make a square.

*Once you cut off the bottom portion of the rectangular, the sides of the square will each be 8.5 inches. If you would like, you can cut 0.5 inch off the top of the square and 0.5 off the right side of the square to make it 8 inches by 8 inches. That is optional.

3. Cut the square in half along the diagonal to form two paper triangles. These will be your pennant flags.

4. Measure the diagonal of the triangle: Use the Pythagorean Theorem ( a^2+b^2=c^2) to determine the length of the diagonal (hypotenuse):

A2 + B2 = C2
122 + 122 = 24
24 + 24 = 72

*Your actual measurement and your Pythagorean Theorem answer should be the same or very similar.

5. Divide the actual length of the room (measurement from Step 1), by the length of the hypotenuse:
72 x 4 = 288
288 / 72 = 4

*That is how many triangles you will need to create your “string of pennant flags”.
How many flags will you need to cover the entire length of the wall? 288


Analyze It Questions:
Why might your measurement of the diagonal’s length be different than the length you found using the Pythagorean Theorem?

Your measurement of the diagonal’s length might be off track, but my measurements were fine so I am on the right track.

@,,, is correct, just change the way you do it so it won't be sus

what does A&B stand for

Welcome back, Dude!

4. The diagonal of the triangle is called the hypotenuse. Plug the measurements of the two walls for a and b.

Your about to have a BAD time random person

@,,, you were no help at all you were just quoting the "8A Unit 4 Portfolio Instructions and example" thanks for literally nothing

Sure, I can help you with question 4.

In order to measure the diagonal of the triangle, you can use the Pythagorean Theorem. The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

So, in our case, we have a right-angled triangle formed by cutting the square paper in half diagonally. The two sides of the triangle will be equal to the length of the square, which is 8 inches according to the optional step mentioned earlier.

Applying the Pythagorean Theorem, we can calculate the length of the diagonal (hypotenuse) as follows:

8^2 + 8^2 = c^2,
64 + 64 = c^2,
128 = c^2.

To find the value of c (the length of the diagonal), we can take the square root of both sides of the equation:

√128 = √c^2,
√(8^2 + 8^2) = c,
√(64 + 64) = c,
√128 = c.

Therefore, the length of the diagonal (hypotenuse) is √128 inches. You can simplify this to a decimal if needed.

It's important to note that the actual measurement of the diagonal with a ruler or measuring device should be very close to the value obtained through the Pythagorean Theorem calculation.