ayannasavagee2005 ayannasavagee2005
  • 07-05-2021
  • Mathematics
contestada

Find the value of each variable given that the hypotenuse (h) equals 143.
Write your answers in simplest radical form.

Find the value of each variable given that the hypotenuse h equals 143 Write your answers in simplest radical form class=

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thebecks
thebecks thebecks
  • 07-05-2021

Answer:

D)

x = 21

y = 7√3

Step-by-step explanation:

One of the sides is 21 (clue from the provided answers).

Using the Pythagorean theorem:

(14√3)² = 21² + side²

588 = 441 + side²

side² = 147

side = 7√3  

Now we have our three sides but, which one is x and which one is y?

try x = 21:

cos 30 = 21/(14√3)

0.8660 = 21/(14√3)

0.8660(14√3) = 21,   yes, then x = 21

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