1.

Construct a DeltaABC in which BC = 8cm, angleB = 45^(@) and AB - AC = 3.5 cm.

Answer»

Solution :Given that, in `DeltaABC`,
`BC = 8 cm,` `angleB = 45^(@)` and `AB - AC = 3.5 cm`
Steps of construction :
1. Draw the base `BC = 8 cm`
2. At the point `B` make an `angleXBC = 45^(@)`.
3. Cut the LINE segment `BD` equal to `AB - AC` = `3.5 cm` from the ray `BX.`
4. Join `DC.`
5. Draw the perpendicular bisector, say `PQ` of `DC.`
Let it INTERSECT `BX` at a point`A.`
7. Join `AC.`


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