Question

Construct a triangle abc whose three median are 3 cm 2.7 cm and 6 cm.

Answer 1

step1 draw its base 2.7cm bc
srep2 draw an arc from point b 3cm at a
step4 draw an arc 6cm from point c at a

Answer 2

Point of Intersection of Medians is Centroid.

Step-by-step explanation:

• The Line segment that joins the vertex of one side of triangle with the midpoint of the opposite side or we can say bisects it, is termed as the median of itself.

• There are three medians present in any triangle, from all three vertexes, which at the point of intersection makes a Centroid.

STEP :  

(i) Construct a ΔAPQ with AP = 6 cm, PQ = 3 cm and AQ = 2.7 cm.  

(ii) Draw the medians AE and PF of ΔAPQ intersecting each other at G.  

(iii) Produce AE to B such that GE = EB  

(iv) Join B and Q and produce it to C, such that BQ = QC  

(v) Join A and C.

We get the required triangle ABC.