ahammontree8378
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  • 02-12-2021
  • Mathematics
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What is the value of x? If necessary leave your answer in the simplest radical form.

What is the value of x If necessary leave your answer in the simplest radical form class=

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jimthompson5910 jimthompson5910
  • 02-12-2021

Answer:  32

Explanation:

This is a 30-60-90 triangle as shown by the angles. These types of triangles have their shortest leg opposite the smallest angle, and the connection between the short and long legs is

long = short*sqrt(3)

We see that the long leg is 16*sqrt(3) units long, which must mean the short leg is 16 units. This doubles to 32 when we go from short leg to hypotenuse

hypotenuse = short*2

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