[img]2022m10x/ct_ve01204002j_0034_221018[/img]In the figure above,PQ is a diame

游客2024-01-13  19

问题
In the figure above,PQ is a diameter of circle O,PR=SQ,and △RST is equilateral.If the length of PQ is 2.what is the length of RT?

选项 A、 
B、 
C、 
D、 
E、 

答案 D

解析 Since PR = SQ it follows that RO = OS, so O is the midpoint of RS. Since △RST is equilateral and 0 is the midpoint of , △ROT is a 30°-60°-90° triangle, and since is a radius of the circle with diameter 2, OT= 1. Using the ratios of the sides of a 30°-60°-90° triangle, it follows that RT=.
The correct answer is D.
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