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Similar Triangles Problems

Q1.
On a map drawn to a scale of 1:40000, a rectangular plot of land, ABCD has the following measurements: AB = 6 cm and BC = 8 cm. Calculate:
a)The diagonal distance of the plot in km
b)The area of the plot in square km
 

 

 

 

 

 

 

Q2.

The volume of a machine is 27000cubic cm. A model of the machine is made, the reduction factor being 2:15. What is the volume of the model?

 

 

 

 

 

 

 

Q3.

A model of a ship is made to scale 1: 200.

a)The length of the model is 4 m. What is the length of the ship?
b)The area of the deck of the ship is 160000 square meter. What is the area of the deck of the model?
c)The volume of the model is 200 liters. What is the volume of the ship?

 

 

 

 

 


Q4.

The scale of a map is 1: 20000. A plot of area 20 square km is to be represented on the map. Find

a)The number of kilometers on the ground which is represented by 1 cm on the map
b)The area in square kilometer that can be represented by 1 square cm
c)The area on the map that represents the plot

 

 

 

 

 

 

Q5.
On a map drawn to a scale 1: 250000, a triangular plot of land has the following
measurements: AB = 3 cm, BC = 4 cm and angle . Find  
a)The actual length of AB In kilometer
b)the area of plot in square kilometer
     

 

 

 

 

 

 

Q6.

ABC is an isosceles triangle inscribed in a circle. AB = Ac = 25 inch and BC = 14 inch. What is the radius of the circle?

 

 

 

 

 

 

 

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