Draw triangles with sides as given below.

XY = 5 cm, YZ = 4 cm, XZ = 4 cm

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Solution

The steps for construction of the required triangle are as follows.

1. Draw a line segment XY of length 5 cm.

2. Take X as the centre and 4 cm as the radius to draw part of a circle.

3. Take Y as the centre and 4 cm as the radius to draw part of a circle.

4. Mark a point Z where these parts of circles intersect.

5. Join XZ and YZ.

Thus, ΔXYZ is the required triangle.

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Draw triangles with sides as given below.

PQ = 3 cm, QR = 4 cm, RP = 5 cm

Try to draw triangles with measurements as given below.

(i) AB = 5 cm, AC = 6 cm, ∠A = 60°

(ii) PQ = 4.5 cm, QR = 5 cm, ∠Q = 65°

(iii) XY = 7 cm, XZ = 5 cm, ∠X = 100°

(iv) CD = 5 cm, CE = 5 cm, ∠C = 40°

(v) LM = 4 cm, MN = 4 cm, ∠L = 60°

∆

∆

∆

∆

△ X Y Z

Y Z = 5 c m, X Y = 4 c m

X Y = 7 c m

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