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

2.

Calculate the height (in cm to the nearest integer) of an equilateral triangle whose area is 36.95 cm².
 
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3.

Calculate the height (in cm) of a triangle whose base is 24 cm and area is 180 cm².
 
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4.

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

5.

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?
 
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6.

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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7.

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