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Area of a Triangle | Notes and Sample Questions

  • Writer: Walter Education
    Walter Education
  • Jun 30
  • 1 min read

Updated: Jul 28

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What is a Triangle ?

A triangle is a simple 2D shape with three straight sides, three angles, and three vertices (corners). It’s one of the most fundamental shapes in geometry!


Key Features of a Triangle:

  1. 3 Sides: Three connected straight lines.

  2. 3 Angles: Always add up to 180°.

  3. 3 Vertices: Points where two sides meet.


Real-Life Examples

  • Pyramids: Triangular sides (3D version).

  • Sandwiches: Cut diagonally → two right triangles.

  • Road Signs: Many use triangular shapes (e.g., yield signs).


Types of Triangles

Triangles can be classified in two ways:


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Examples of Area of Triangle Questions !



Q24) Our in-house teaching materials SAP P5 Mock Exam 5 paper 1 Q24

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Solution:

 

Formula of area of triangle = ½ x base x height

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Base = 18 cm

Height = 8 cm

 

Area of triangle = ½ x 18 cm x 8 cm

                             = 72 cm²





Q14) P5_Maths_WA1_2024_RedSwastika_Exam_Papers


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a) What is the area of triangle CDE ?


Solution:


Since ABCD is a square, all four sides must be equal in length.

Base = 10 cm

Height = 10 cm


Area of Triangle CDE = ½ x base x height

= ½ x 10 cm x 10 cm

                             = 50 cm²



b) What is the area of shaded part X ?


Solution:


Base = 10 cm

Height = 6 cm


Area of Triangle CDF = ½ x base x height

= ½ x 10 cm x 6 cm

                                      = 30 cm²


Therefore, area of shaded part X = Area of Triangle CDE - Area of Triangle CDF

                                     = 50 cm² - 30 cm²

= 20 cm²






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