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Construction of Triangles

  • A triangle can be constructed if all its sides are known.

Example: 

Construct a triangle whose sides are 3 cm, 5cm and 7 cm.

 

Solution:

    1. Draw a line segment AB of length 7 cm. With A as centre and radius equal to 3 cm, draw an arc.
    1. With B as centre and radius 5 cm, draw another arc cutting the earlier drawn arc at C.
    1. Join AC and BC to get ΔABC.

 

  • A triangle can be constructed if the length of two sides and angle between them are given.

Example: 

Construct ΔABC where BC = 7 cm, AB = 5 cm and ∠ABC = 30°

 

Solution:

    1. Draw a line segment…

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