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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 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      

2.

Calculate the side (in cm to the nearest integer) of an equilateral triangle whose height is 10.4 cm.
 
Hint      

3.

Calculate the area (in cm² upto 1 decimal place) of an equilateral triangle of side 10 cm.
 
Hint      

4.

The base of a right-angled triangle is 5 cm and its hypotenuse is 13 cm. Find the area (in cm²) of the triangle.
 
Hint      

5.

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      

6.

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

7.

Find the area (in cm²) of a triangle with base 12 cm and height 7 cm.
 
Hint      


 
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