A video explanation can be found here:
https://www.youtube.com/watch?v=QjP0s-vOXLYThree of the many equations and facts you'll need to memorize for the GMAT are
- Area of a triangle = 1/2(base)(height)
- In a right triangle with angles 30-60-90 degrees, if the leg opposite the 30 degree angle has length a, then the hypotenuse has a length of 2a, and the other leg has a length of a√3 (see video below)
https://www.youtube.com/watch?v=QjP0s-vOXLY- If a triangle inscribed in a circle has the diameter of the circle as one of its sides, that side will always be the hypotenuse, and the two legs that touch the circumference of the crcle will always interesect at 90 degrees (also best explained in video below)
Here we have hypotenuse = 2, therefore base = 1 and height = √3, therefore area = 1/2(1)(√3) = √3/2
Answer B.
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