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Construct a A B C in which B C=5. 6\...

Construct a ` A B C` in which `B C=5. 6\ c m ,\ A C-A B=1. 6\ c m\ a n d\ /_B=45^0dot` Justify your construction.

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STEPS OF CONSTRUCTION
1. Draw the base BC = 5 cm.
2. At the point B make an `angleXBC = 60^*`.
3. Cut a line segment BD equal to AB + AC = 7.5 cm from the ray BX.
4. Join DC and make an `angleDCY = angleBDC`
5. Let CY intersect BX at A.
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