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Answer:
C. x = 1
Step-by-step explanation:
To solve this problem the best way is to use the quadratic formula. First make everything equal to 0 by adding 3 to both sides.
3x^2 - 6x + 3 = 0
The quadratic formula is: . Substitute the values of a, b, and c into the formula. Keep in mind:
- a = 3
- b = -6
- c = 3
Therefore, x = 1.
In a 30°-60°-90° triangle, the length of the longer leg is √3 times the length of the shorter leg and length of the hypotenuse is twice the length of the shorter leg.
<h3>How to explain the reason</h3>ACF is a 30º-60º-90º triangle because of the following reasons;
Based on a theorem, in a 30°-60°-90° triangle, it is said that the length of the longer leg is √3 times the length of the shorter leg and length of the hypotenuse is twice the length of the shorter leg,
1 → short leg = 1
2 → hypotenuse = 2
√3 → long leg = √3
Using the Pythagorean theorem., we have that
a² + b² = c²
1² + b² = 2²
b² = 2² - 1²
b² = 4 - 1
b² = 3
√b² = √3
b = √3
Thus, in a 30°-60°-90° triangle, the length of the longer leg is √3 times the length of the shorter leg and length of the hypotenuse is twice the length of the shorter leg.
Learn more about Pythagorean theorem here:
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