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Find the value of x.

A 30, 60, 90 degree right triangle is drawn. The 60 degree angle is labeled. The shortest leg adjacent to the 60 degree angle is labeled 5. The longest leg opposite the 60 degree angle is labeled y. The hypotenuse is labeled x.

Answers:
A) 5 times the square root of 3
B) 10
C) 5 times the square root of 2
D) 5

Sagot :

chibabykalu16

Answer:

B) 10

Step-by-step explanation:

In a 30-60-90 triangle, the sides have a specific ratio: [tex]1 : \sqrt{3} : 2[/tex]. This means:

  • The side opposite the 30° angle (shortest leg) is a
  • The side opposite the 60° angle (longest leg) is [tex]a\sqrt{3}[/tex].
  • The hypotenuse is 2a.

Given that the shortest leg (adjacent to the 60° angle) is 5, we can set a = 5.

Using the ratio:

The hypotenuse x is 2a = 2 * 5 = 10

Therefore, the value of x is 10.

sanadahamed123456789

The correct answer is:

B) 10

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