Please solve question 3

$3. Draw △ABC whose length of all 3 medians 6 cm, 7.2 cm. 6.6 cm .$

 

Dear Student,

Please find below the solution to the asked query:

We follow these steps:

We know all three medians intersect at a single point and Medians cuts each other at a ratio of 2 : 1 .

Step 1 : We Draw a line ED as $\frac{1}{3}$ of side of 6 cm  , So we get ED  = 2 cm

Step 2 : Now take Radius of $\frac{1}{3}$ of side of 6.6 cm ( 2.2 cm ) and center " E "  draw an arc and Radius of $\frac{1}{3}$ of side of 7.2 cm ( 2.4) and center " D "  draw an arc that intersect previous arc at " G " .

Step 3 : We extend line GE to X and get line " GX "  and extend line DG to Y and get line " DY "

Step 4 : With radius of GE and center " E "  we draw an arc that intersect our line GX at " A " .

Step 5 : Join AD and and extend it to point B as AD  =  BD .

Step 6 : Now we take radius double the DG or $\frac{2}{3}$ of side of 7.2 cm  ( 4.8 cm ) and draw an arc by taking center " G "  that arc intersect our line DY at " C " .

Step 7 : Join AC and BC . We get our required triangle .



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