Answer:
Yes, The pole will fit through the door because the diagonal width of the door is 10.8 feet, which is longer than the length of the pole.
Step-by-step explanation:
Using the Pythagorean Theorem, ([tex]a^2+b^2=c^2[/tex] ) we can measure the hypotenuse of a right triangle. Since the doorway is a rectangle, and a rectangle cut diagonally is a right triangle, we can use Pythagorean Theorem to measure the diagonal width of the doorway.
Plug in the values of the length and width of the door for a and b. The c value will represent the diagonal width of the doorway:
[tex]6^2+9^2=c^2[/tex]
[tex]36+81=c^2[/tex]
[tex]117=c^2[/tex]
Since 117 is equal to the value of c multiplied by c, we must find the square root of 117 to find the value of c.
[tex]\sqrt{117} =10.8[/tex]
[tex]10.8=c[/tex]
Yes, The pole will fit through the door because the diagonal width of the door is 10.8 feet, which is longer than the length of the pole, measuring 10 feet.
