1.

Construct a DeltaABC whose perimeter is 10.5 cm and the base angles are 60^(@) and 45^(@).

Answer»

Solution :Steps of CONSTRUCTION :
1. Draw `PQ = 10.5 cm.`
2. Construct `ANGLERPQ = 60^(@)` and `angleSQP = 45^(@)`.
3.Draw the bisector of `angleRPQ` and `angleSPQ` which intersect each other at`A.`
4. Join `AP` and `AQ.`
5. Draw the PERPENDICULAR bisectors of `AP` and `AQ` which intersect `PQ`at points `B` and `C` respectively.
6. Join `AB` and `AC.`

`therefore DeltaABC` is the required triangle.


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