Numerical Problems with Answers, Solution | Geometry | Maths - Exercise 4.5: Construction of the Centroid and Orthocentre of Triangle | 9th Maths : UNIT 4 : Geometry
Chapter: 9th Maths : UNIT 4 : Geometry
Exercise 4.5: Construction of the Centroid and Orthocentre of Triangle
Construction of the Centroid of a Triangle and
Orthocentre of a Triangle
Exercise 4.5
1. Construct the ΔLMN such that LM=7.5cm, MN=5cm and LN=8cm. Locate its centroid.
2. Draw and locate the centroid of the
triangle ABC where right angle at A, AB = 4cm and AC
= 3cm.
3. Draw the ΔABC , where
AB = 6cm, ∠B = 110° and
AC = 9cm and construct the centroid.
4. Construct the ΔPQR such
that PQ = 5cm, PR= 6cm and ∠QPR = 60° and
locate its centroid.
5. Draw ΔPQR with
sides PQ = 7 cm, QR = 8 cm and
PR = 5 cm and construct its Orthocentre.
6. Draw an equilateral triangle of sides
6.5 cm and locate its Orthocentre.
7. Draw ΔABC, where
AB = 6 cm, ∠B
= 110º and BC = 5 cm and construct its Orthocentre.
8. Draw and locate the Orthocentre of
a right triangle PQR where PQ = 4.5 cm, QR = 6 cm and PR = 7.5 cm.
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