Скачать или смотреть Geometry: A challenging problem on a rectangle within a circle | CAT, GMAT, GRE, SAT, ACT

This is a more challenging problem, especially for standardized tests. Solving it requires combining multiple concepts including geometric properties of circles, rectangles and similar triangles, knowledge of Pythagoras Theorem, solving quadratic equations and approximating square roots !

ABCD is a rectangle within a circle of center C and radius 10 as shown in the figure. BC=8. Diagonal BD when extended outmeets the circle at point E. Which of the following is closest to the length of BE?
A) 12
B) 13
C) 14
D) 15
E) 16

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About myself: I am an IIT graduate, math enthusiast and well-published scientist with 80+ US patents. My mission with this channel is to teach methods in math with the aid of worked out problems on different math topics, commonly seen in standardized tests as well as high school math tests.
If you have a particular math problem that you want me to make a video on, please let me know in the 'Comments' section or feel free to send me an email.


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