Triangles and Circles (IMO Mathematics Olympiad (SOF) Class 9): Questions 23  27 of 79
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Question number: 23
» Triangles and Circles
Question
A running track is the ring formed by two concentric circles. It is 10 feet wide. The circumferences of the two circles differ by about ________.
Choices
Choice (4)  Response  

a.  100 feet 

b.  10 feet 

c.  30 feet 

d.  60 feet 

Question number: 24
» Triangles and Circles
Question
In triangle HKM, the altitude from H to KM meets KM at J, and the altitude from K to HM meets HJ at S. if , and , if then the length of SJ is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 25
» Triangles and Circles
Question
In the medians XC, YB and ZA pass through O. If , then YB is ________
Choices
Choice (4)  Response  

a.  19 

b.  11 

c.  26 

d.  21 

Question number: 26
» Triangles and Circles
Question
In the figure , and . If the exterior angle XZK is, then the angle NMX is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 27
» Triangles and Circles
Question
The and are right angles. If , and , then the length of BD is ________
Choices
Choice (4)  Response  

a.  25 cm 

b.  15 cm 

c.  12 cm 

d.  16 cm 
