Question

Construct a triangle ABC in which BC = 3 cm, ∠B= 45° and AB - AC = 2 cm.​

Answer 1

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Answer 2

Given :

BC = 3 cm

∠B = 45°

AB - AC = 2 cm

To find :

Construct a triangle ABC.

Solution :

Step 1 : Draw base = 3cm

Step 2 : Draw ∠B = 45°. Mark the ray as BX.

Step 3 : Take 2 cm in compass. Cut an arc from B. Let arc intersect BX at D.

Step 4 : Join CD

Step 5 : Draw ⊥ bisector of CD.

Step 6 : Mark point A where ⊥ bisector intersects BD.

Step 7 : Join AC