We are asked to draw triangle ABC whose base angles are 60° and 45° and its perimeter is 6.4 cm

We will follow the following algorithm for the construction

Steps of construction

STEP1: Draw DE of 6.4 cm.

STEP2: Draw EDP =∠ B = 60° and ∠ DER = ∠ C = 45°.

STEP3: Draw the angle bisectors of ∠ EDP and ∠ DER and mark their point of intersection as A.

STEP4: Draw the perpendicular bisectors of AD and AE. They meet DE at point B and Point C respectively.

STEP5: Draw AB and AC to get the required triangle ABC.