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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 ratio of the areas of two triangles is 2 : 3. The ratio of their heights is 3 : 2. If the ratio of their bases is 4 : y, what is y?
 
Hint      

2.

Find the length of the hypotenuse (in cm) of an isosceles right-angled triangle having area of 484 cm².
 
Hint      

3.

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.
 
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4.

Calculate the height (in cm to the nearest integer) of an equilateral triangle whose area is 36.95 cm².
 
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5.

Find the area (in m²) of an isosceles triangle, each of whose sides is 10 m and base 12 m.
 
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6.

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      

7.

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      


 
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