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Construct a A B C in which A B+A C=5....

Construct a ` A B C` in which `A B+A C=5. 6\ c m ,\ B C=4. 5\ c m\ a n d\ /_B=45^@`

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Steps of construction: 1. Draw a line segment BC = 4.5 cm.
2. At the point B, draw `angleXBC = 45^*`.
3. Draw an arc which intersects XB at point D form point B and with radius 5.6 cm.
4. Join DC.
5. Draw a perpendicular bisector of DC which intersects DB at A.
6. Join AC. Hence, `triangleABC` is the required triangle.
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