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Construct a ΔABC in which AB + AC = 5.6 cm, BC = 4.5 cm, and ∠B = 45°.

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(1) Draw a line segment BC = 4.5cm. 

Using a protractor, draw ∠CBD = 45°. 

Join and extend BD.

(2) Taking B as the center and radius = 5.6cm, draw an arc, intersecting extended BD at point P. 

Join PC.

(3) Taking P as the center and radius greater than , draw arcs on each side of PC. 

Now, 

Taking C as the center and same radius, draw arcs, intersecting the previous arcs at points Q and R. 

Join and extend QR.

 Extended QR intersects line segment DB at point A. 

Join AC.

(4) ∆ABC is the required triangle.

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