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CAT Quantitative Aptitude Shortcut Methods

CAT Introduction to Area of Triangle - Practice Questions & MCQ

Edited By admin | Updated on Oct 04, 2023 04:20 PM | #CAT

Concepts Covered - 1

Introduction to Area of Triangle

You have studied in previous classes about different figures such as squares, rectangles, triangles and quadrilaterals. You also know how to calculated perimeters and the areas of some of these figures like rectangle, square etc.

So, if your classroom floor is a shape of  rectangular with length 12 m and width 10 m, its perimeter would be 2(12 m + 10 m) = 44 m and its area would be 12 m × 10 m, i.e., 120 m2 .

Unit of measurement for length or breadth is taken as metre (m) or centimetre (cm) etc.  Unit of measurement for area of any plane figure is taken as square metre (m2 ) or square centimetre (cm2 ) etc.

You also studied in previous classes that how to find the area of a triangle. 

\text{Area of a triangle }=\frac{1}{2} \times base \times height

Let us recall how we find area of right angle triangle, equilateral triangle and isosceles triangle.

When the triangle is right angled, we can directly apply the formula by using two sides containing the right angle as base and height. For example, suppose that the sides of a right triangle ABC are 3 cm, 4 cm and 5 cm; we take base as 4 cm and height as 3 cm.

Then the area of ∆ ABC is given by

 \frac{1}{2} \times \text { base } \times \text { height }=\frac{1}{2} \times 4 \times 3 \mathrm{cm}^{2}, \text { i.e., } 6 \mathrm{cm}^{2}

Note that we could also take 3 cm as the base and 4 cm as height.

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