So this is considered a "special triangle." The 30-60-90 triangle states that if the short leg is x, then the hypotenuse is 2x and the long leg is x√3.
Since we have the short leg, to find the hypotenuse, or y in this case, multiply the short leg by 2:
17 × 2 = 34
Next, to find the long leg, or x in this case, multiply the short leg by √3:
17 × √3 = 17√3
<u>In short, x = 17√3 and y = 34. The correct option is the last option.</u>
The solution of the radical equation is x = 5 / 3.
<h3>How to solve radical equation?</h3>
The radical equation can be solved by isolating x.
Therefore, the radical equation can be solved as follows:
√3x - 1 - 2 = 0
add 2 to both sides
√3x - 1 - 2 = 0
√3x - 1 - 2 + 2 = 0 + 2
√3x - 1 = 2
square both sides
√3x - 1 = 2
(√3x - 1 )² = 2²
Hence,
(√3x - 1 )² = 2²
3x - 1 = 4
Therefore, add 1 to both sides
3x - 1 = 4
3x - 1 + 1 = 4 + 1
3x = 5
divide both sides by 3
3x = 5
3x / 3 = 5 / 3
x = 5 / 3
Therefore, the solution of the radical equation is x = 5 / 3.
learn more on radical equation here: brainly.com/question/28442352
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Answer:
- 3.75 or -15/4
Step-by-step explanation:
I'm sorry if this isn't very helpful, and I'm not sure if it's right, but here are two examples of rational numbers if that's what you're looking for.
- 3/8 + 4/9
= LCM = 72
= - 3 * 9/ 8 * 9 = -27/ 72
= 4 * 8 / 9 * 8 = 32 / 72
= (-27 + 32)/ 72
= 5/72
