Construct a Δ ABC in which BC =3.6 cm, AB+AC =4.8 cm and ∠ B = 60°.

Question

Construct a &#x394; ABC in which BC =3.6 cm, AB+AC =4.8 cm and &#x2220; B = 60&#xB0;.

Philoid · Accepted Answer

We are asked to construct a triangle ABC in which, and

We will follow the following algorithm for the construction

Steps of construction

STEP1: Draw BC of 3.6 cm

STEP2: Draw∠B = 60°

STEP3: From ray BE, cut BD of 4.8 cm.

STEP4: Draw segment DC.

STEP5: Draw the perpendicular bisector of DC, intersecting the ray BE at A

STEP6: Draw segment AC.

ABC is the required triangle.