Triangles and Circles (IMO Mathematics Olympiad Class 9): Questions 27  32 of 79
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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 

Question number: 28
» Triangles and Circles
Question
The area of trapezium ABCD is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 29
» Triangles and Circles
Question
Centroid of a triangle is the point of concurrency of its ________
Choices
Choice (4)  Response  

a.  Angle 

b.  Perpendicular bisectors 

c.  Medians 

d.  Triangle 

Question number: 30
» Triangles and Circles
Question
In triangle XYZ, the altitude from X to YZ meets YZ at K, and the altitude from Y to XZ meets XK at M. if , and , if then the length of MK is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 31
» Triangles and Circles
Question
The locus of a point equidistant from the three vertices of a triangle is ________
Choices
Choice (4)  Response  

a.  Incenter 

b.  Centroid 

c.  Orthocenter 

d.  Circumcenter 

Question number: 32
» Triangles and Circles
Question
If all medians of a triangle are equal, then the triangle is ________
Choices
Choice (4)  Response  

a.  Isosceles triangle 

b.  Right angle triangle 

c.  Equilateral triangle 

d.  Scalene triangle 
