Question

Construct the ΔLMN such that LM = 7.5 cm, MN = 5 cm and LN = 8 cm. Locate its centroid

Answer 1

Steps for construction:

Step 1: Draw the ΔLMN using the given measurement LM = 7.5 cm, MN = 5 cm and LN = 8 cm.

Step 2: Construct the perpendicular bisectors of any two sides LM and MN intersect LM at P and MN at Q respectively.

Step 3: Draw the median LQ and PN meet at G.

The point G is the centroid of the given ΔLMN.