Apply the 45º-45º-90º Triangle Theorem to find the length of a leg of a right triangle if the length of the hypotenuse is 8{x} inches.

9514 1404 393

  (4√2)x inches

Step-by-step explanation:

The leg of an isosceles right triangle is (√2)/2 times the length of the hypotenuse. For a hypotenuse of 8x inches, the leg length is ...

  (8x)(√2)/2 = (4√2)x . . . inches

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet