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Question
Draw triangle with the measures given below.
In ∆ NTS, m ∠T = 40°, l(NT) = l(TS) = 5 cm
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Solution
Steps of construction:
- Draw a line TS = 5 cm.
- With T as a centre, draw an angle of 40°° using protractor. Name this angle as ∠∠XTS.
- With T as a centre and 5 cm as radius, cut an arc on XT and name it as point N.
- Join NS.
∆NTS is the required triangle.

RELATED QUESTIONS
In ∆ STU, l(ST) = 7 cm, l(TU) = 4 cm, l(SU) = 5 cm
In ∆ PQR, l(PQ) = 6 cm, l(QR) = 3.8 cm, l(PR) = 4.5 cm
Students should take examples of their own and practise the construction of triangles.
Construct a triangle using the given data: AB = 6.5cm, BC = 8.4cm and AC = 7.2cm
Construct a triangle using the given data: PQ = 4.8cm, QR = 6.3cm and PR = 5.5cm
Construct a triangle using the given data: DE = 6.5cm, EF = 5.8cm and DF = 4.2cm
Construct a triangle using the given data: BC = 6.0cm, ∠B = 60° and ∠C = 45°
Construct a triangle using the given data: DE = 5cm, ∠D = 75° and ∠E = 60°
Construct a right-angled triangle in which: QP = QR and hypotenuse PR = 7 cm
Construct a ΔXYZ with YZ = 7.5 cm, ∠Y = 60° and ∠Z = 45°. Draw the bisectors of ∠Y and ∠Z. If these bisectors meet at O, measure angle YOZ.
