Find the value of Y .
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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 .