1.

Construct a DeltaABC in which BC = 5cm, angleB= 60^(@) and AC + AB = 7.5cm.

Answer»

Solution :Given, in`DeltaABCBC = 5cm, angleB= 60^(@) and AC + AB = 7.5cm`.To CONSTRUCT the triangle `ABC` use the following steps.

(i) Draw the base `BC = 5cm`.
(ii) At the point `B` make an `angleXBC = 60^(@)`
(iii) Cut a line segment BD equal to `AB +AC = 7.5 cm` from the ray BX.
(iv) Join `DC`.
(v) Make an `angleDCY = angleBDC`.
(vi) Let `CY` INTERSECT `BX` at`A.`
Then, `DeltaABC` is the required triangle.


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