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Find the value of each variable.

Select 2 correct answer(s)



x = 7
x = 14
x = 28
x = 7√2
x = 7√3
x = 14√2
x = 14√3
y = 7
y = 14
y = 28
y = 7√2
y = 7√3
y = 14√2
y = 14√3

Find the value of each variableSelect 2 correct answersx 7x 14x 28x 72x 73x 142x 143y 7y 14y 28y 72y 73y 142y 143 class=

Respuesta :

sqdancefan

Answer:

  • x = 7√3
  • y = 14

Step-by-step explanation:

You want the values of x and y for a right triangle with side lengths 7, x, y and the angle opposite 7 being 30°.

Special triangle

A 30°-60°-90° right triangle is one of two "special" right triangles with integer angles and a simple relationship between side lengths. This triangle has length ratios, shortest to longest, of ...

  1 : √3 : 2

In the given triangle, these are ...

  7 : x : y

Multiplying the known ratios by 7, we have ...

  7 : x : y = 7 : 7√3 : 14

That is, x = 7√3 and y = 14.

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Additional comment

The other "special" right triangle is the isosceles 45°-45°-90° triangle, with sides in the ratio 1 : 1 : √2.

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