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📐 Mathematics - Class 10
Lesson 11 · Construction of a Triangle and a Quadrilateral Equal in Area

Construction of a Triangle and a Quadrilateral Equal in Area

MathematicsSubject
8 minEstimated read
Activity 5

Triangle PSG equal in area to quadrilateral PQRS

Method
  • Draw a rough sketch of quadrilateral PQRS according to the given data.
  • Construct a quadrilateral PQRS in which PQ = 5 cm, PS = 4 cm, QR = 4.4 cm, RS = 3.6 cm and diagonal PR = 6.4 cm.
  • Draw a diagonal SQ.
  • Draw RH parallel to SQ from R, making \( \angle SQR = \angle QRH \). Now extend PQ and name the point G where the line meets RH. Join S and G.
Discussion
  • The area of triangle PSG is equal to the area of quadrilateral PQRS. How? Discuss with your friends.
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