Triangles and Circles (IMO Mathematics Olympiad Class 9): Questions 42  45 of 79
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Question number: 42
» Triangles and Circles
Question
An exterior angle of a triangle is 110˚ and one of the interior opposite angle is 40˚. Then the other two angles of a triangle are
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 43
» Triangles and Circles
Question
In the figure, If and if , then MT will be ________
Choices
Choice (4)  Response  

a.  18 cm  
b.  30 cm  
c.  90 cm  
d.  20 cm 
Question number: 44
» Triangles and Circles
Question
In triangle ABC, the altitude from A to BC meets BC at D, and the altitude from B to CA meets AD at H. if , and , if then the length of HD is ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 45
» Triangles and Circles
Question
A1 is a circle of radius 8 cm, A2 is a circle of radius 12 cm. Shivangi wants the two circles to touch tangentially. She knows that there are two possibilities for the distance between their centres. What are these two distances?
Choices
Choice (4)  Response  

a.  5 cm and 19 cm  
b.  4 cm and 20 cm  
c.  16 cm and 8 cm  
d.  12 cm and 4 cm 