Question

construct a triangle ABC in which BC=4.7cm ,angle B=45degree and AB-AC =2cm .​

Answer 1

this picture is the answer

Answer 2

The image of the required triangle is attached with this answer.

Explanation

Given: In Δ ABC, BC = 4.7 cm, Angle B = 45 and AB - AC = 2 cm.

Required: To build the triangle ABC.

Steps of Construction:

1. Firstly, make base BC = 4.7 cm.
2. At point B form an angle ∠ BC = 45°.
3. Break the segment BD = AB - AC (= 2 cm) from ray BX.
4. Join DC.
5. Construct a perpendicular bisector, PQ of DC.
6. PQ cut accrosses BX at point A.
7. Join AC.

Thus, the required triangle is ΔABC.