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Math - Geometry Lesson Plans : Perimeter & Area of Triangles


Mensuration - Solve each exercise problem related to perimeter and area of triangles given below.

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1.

The lengths of the sides of a triangle are in the ratio 3 : 4 : 5 and its perimeter is 72 cm. Find the area (in cm²) of the triangle.
 
Hint      

2.

Calculate the height (in cm to the nearest integer) of an equilateral triangle whose area is 36.95 cm².
 
Hint      

3.

The base of a triangular field is five times its height. If the cost of cultivating the field at $32 per hectare is $500, find its height (in m).
Note that 1 hectare = 10000 m2.
 
Hint      

4.

The area of a right-angled triangle is 30 times its base. What is its height (in cm)?
 
Hint      

5.

If the area of an equilateral triangle is 36√3 cm², find its perimeter (in cm).
 
Hint      

6.

The base of a triangle is twice its altitude. If the area of the triangle is 144 cm², find its base (in cm).
 
Hint      

7.

Calculate the height (in cm) of a triangle whose base is 24 cm and area is 180 cm².
 
Hint      


 
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