Respuesta :

Answer:  (C) 4

Step-by-step explanation:

The corresponding sides of a 30°-60°-90° triangle are: b - b√3 - 2b

The side corresponding to 90° is 8 = 2b   --> b = 4

The side corresponding to 30° is  y = b  as stated above, b = 4, so y = 4

Answer:

C)  y = 4 units .

Step-by-step explanation:

Given  : 90 -60 -30 triangle .

To find : Find the y

Solution : We have given 90 -60 -30 triangle with hypotenuses = 8 units.

By the 90 -60 -30 triangle rule  :  The hypotenuse is equal to twice the length of the shorter leg, which is the side across from the 30 degree angle and the length of the longer leg is 3√ times the length of the shorter leg.

Then Shorter leg = y

Hypotenuse = 2 * Shorter leg .

Plug the values.

8 =  2 * y

On dividing both sides by 2

Shorter leg (y)   = 4 units .

Therefore, C)  y = 4 units .

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