pinkfriday12345 pinkfriday12345
  • 15-05-2021
  • Mathematics
contestada

DUS is a 30°-60°-90° triangle with short leg SU. If SU = x, determine the
length of the long leg and the length of the hypotenuse.

DUS is a 306090 triangle with short leg SU If SU x determine the length of the long leg and the length of the hypotenuse class=

Respuesta :

reeserl reeserl
  • 15-05-2021

Answer:

SD = 2x

UD = x[tex]\sqrt{3}[/tex]

Step-by-step explanation:

The hypotenuse of a 30-60-90 triangle is 2 times the length of the shorter leg.

SU is the shorter leg = x

So, SD = 2x

The longer leg of a 30-60-90 triangle is [tex]\sqrt{3}[/tex] times the shorter leg.

So, UD = x[tex]\sqrt{3}[/tex]

Answer Link
cwrw238 cwrw238
  • 15-05-2021

Answer:

Below in bold.

Step-by-step explanation:

In  a 30-60-90 triangle the sides are in the ratio 1:√3:2 so if the shortest side SU = x then the long leg = √3x and the hypotenuse = 2x.

Answer Link

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