Construct a triangle ABC in which BC = 8cm, ∠ B = 45° and AB – AC = 3.5 cm

Question

Construct a triangle ABC in which BC = 8cm, &#x2220; B = 45&#xB0; and AB &#x2013; AC = 3.5 cm

Philoid · Accepted Answer

Steps of construction:

Step 1: Draw a line segment BC = 8cm and at point B, make an angle of 45⁰ i.e. ∠XBC.

Step 2: Cut the line segment BD = 3.5cm on ray BX.

Step 3: Join DC and draw the perpendicular bisector PQ of DC.

Step 4: Let it intersect BX at point. A.

Step 5: Now, join AC.

Thus, is the required triangle