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  • Suppose we want to buy an entertainment center, but it only holds enough room in the cubicle for a 27-inch TV set. We know that the length of our TV is 16 inches and the height of our TV is 12 inches. Will our TV be able to fit into the cubicle? (Note: TV’s are measured by the length of their diagonal.)


Objectives
Objectives holds enough room in the cubicle for a 27-inch TV set. We know that the length of our TV is 16 inches and the height of our TV is 12 inches. Will our TV be able to fit into the cubicle? (Note: TV’s are measured by the length of their diagonal.)

  • Identify the right angle, hypotenuse and legs of a right triangle.

  • Use the Pythagorean Theorem to solve right triangle problems.


Right triangles
Right Triangles holds enough room in the cubicle for a 27-inch TV set. We know that the length of our TV is 16 inches and the height of our TV is 12 inches. Will our TV be able to fit into the cubicle? (Note: TV’s are measured by the length of their diagonal.)

  • The hypotenuse is across from the right angle

  • The other two sides are called the legs.

hypotenuse

leg

leg

right angle


Pythagorean theorem1
Pythagorean Theorem holds enough room in the cubicle for a 27-inch TV set. We know that the length of our TV is 16 inches and the height of our TV is 12 inches. Will our TV be able to fit into the cubicle? (Note: TV’s are measured by the length of their diagonal.)

a2 + b2 = c2

c

c

a

b

b

a


Now let s do some examples
Now let’s do some examples! holds enough room in the cubicle for a 27-inch TV set. We know that the length of our TV is 16 inches and the height of our TV is 12 inches. Will our TV be able to fit into the cubicle? (Note: TV’s are measured by the length of their diagonal.)


White board directions
White board directions holds enough room in the cubicle for a 27-inch TV set. We know that the length of our TV is 16 inches and the height of our TV is 12 inches. Will our TV be able to fit into the cubicle? (Note: TV’s are measured by the length of their diagonal.)

  • You will be given a problem and then a few minutes to solve the problem on your white board.

  • At the end you will hold up your board for me to check

  • Your answer must include 4 things:

    • A sketch of the triangle with the value of the given sides labeled

    • The Pythagorean Theorem

    • Your algebraic work that shows how you got your answer

    • Your final answer (circle it!)


Question 1
Question #1 holds enough room in the cubicle for a 27-inch TV set. We know that the length of our TV is 16 inches and the height of our TV is 12 inches. Will our TV be able to fit into the cubicle? (Note: TV’s are measured by the length of their diagonal.)

  • A right triangle has a hypotenuse of 15 and a leg of 9. What is the length of the other leg?


Question 2
Question #2 holds enough room in the cubicle for a 27-inch TV set. We know that the length of our TV is 16 inches and the height of our TV is 12 inches. Will our TV be able to fit into the cubicle? (Note: TV’s are measured by the length of their diagonal.)

  • A right triangle has the following measurements:

    • a = 7

    • b = 8

      What is the value of c (the hypotenuse)?


Question 3
Question #3 holds enough room in the cubicle for a 27-inch TV set. We know that the length of our TV is 16 inches and the height of our TV is 12 inches. Will our TV be able to fit into the cubicle? (Note: TV’s are measured by the length of their diagonal.)

  • A right triangle has a hypotenuse of √50 and a leg of 4. Find the length of the other leg.


Question 4
Question #4 holds enough room in the cubicle for a 27-inch TV set. We know that the length of our TV is 16 inches and the height of our TV is 12 inches. Will our TV be able to fit into the cubicle? (Note: TV’s are measured by the length of their diagonal.)

  • A right triangle has the following measurements:

11

√105

Find the length of the missing side.


Question 5
Question #5 holds enough room in the cubicle for a 27-inch TV set. We know that the length of our TV is 16 inches and the height of our TV is 12 inches. Will our TV be able to fit into the cubicle? (Note: TV’s are measured by the length of their diagonal.)

  • A right triangle has legs that measure 7 and 10. What is the hypotenuse of the triangle?


Objectives1
Objectives holds enough room in the cubicle for a 27-inch TV set. We know that the length of our TV is 16 inches and the height of our TV is 12 inches. Will our TV be able to fit into the cubicle? (Note: TV’s are measured by the length of their diagonal.)

  • Identify the right angle, hypotenuse and legs of a right triangle.

  • Use the Pythagorean Theorem to solve right triangle problems.


Exit slip
Exit Slip holds enough room in the cubicle for a 27-inch TV set. We know that the length of our TV is 16 inches and the height of our TV is 12 inches. Will our TV be able to fit into the cubicle? (Note: TV’s are measured by the length of their diagonal.)

  • Suppose we want to buy an entertainment center, but it only holds enough room in the cubicle for a 27-inch TV set. We know that the length of our TV is 16 inches and the height of our TV is 12 inches. Will our TV be able to fit into the cubicle? (Note: TV’s are measured by the length of their diagonal.)


Don t forget to do your homework
Don’t forget to do your homework! holds enough room in the cubicle for a 27-inch TV set. We know that the length of our TV is 16 inches and the height of our TV is 12 inches. Will our TV be able to fit into the cubicle? (Note: TV’s are measured by the length of their diagonal.)


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