Q4 of 9 Page 126

Construct the right triangle whose sides are 4.5cm, 6cm and 7.5cm. Also locate its circumcentre.

Rough Diagram:



Construction Steps:


Step 1: Draw the ΔABC with the given measurements.



Step 2: Construct the perpendicular bisector of any two sides (AC and AB) and let them meet at S which is circum centre.



We know that the circum centre of a right angled triangle is at the midpoint of its hypotenuse.


∴ In the above triangle, S is the required circum centre.


More from this chapter

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2

Draw the circumcircle for

i. an equilateral triangle of side 6cm.


ii. an isosceles right triangle having 5cm as the length of the equal sides.

 3

Draw ΔABC, where AB = 7 cm, BC = 8 cm and ∠B = 60° and locate its circumcentre.

 1

Draw ΔABC with sides AB = 8 cm, BC = 7 cm and AC = 5 cm and construct its orthocentre.

 2

Construct the orthocentre of ΔLMN, where LM = 7 cm, ∠M = 130° and MN = 6cm.