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Question
Draw an isosceles triangle with base 5 cm and the other sides 3.5 cm each.
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Solution
Steps of construction:
- Draw a line PQ = 5 cm.
- With P as a centre and 3.5 cm as radius, draw an arc above the line PQ.
- With Q as a centre and 3.5 cm as radius, draw an arc cutting the previously drawn arc. Name the point of intersection as point R.
- Join RP and RQ.
△RPQ is the required isosceles triangle.
RELATED QUESTIONS
In ∆ PQR, l(PQ) = 6 cm, l(QR) = 3.8 cm, l(PR) = 4.5 cm
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Students should take examples of their own and practise the construction of triangles.
Construct an equilateral triangle using the given data: Altitude AD = 5 cm
Construct a triangle using the following data: PQ + PR = 10.6 cm, QR = 4.8 cm and ∠R = 45°
Construct a triangle using the following data: DE + EF = 10.3 cm, EF = 6.4 cm and ∠E = 75°
Construct a triangle using the given data: Perimeter of triangle is 6.4 cm, and the base angles are 60° and 45°
