Mathematics

Construct a triangle PQR, in which PR = 6 cm ad PQ = QR = 6.8 cm.

(i) Mark S the mid-point of PQ.

(ii) Construct the circle which touches QR at R and passes through S.

Constructions

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Answer

Steps of construction :

  1. Draw a line segment PR = 6 cm.

  2. With P and R as centers draw arc of 6.8 cm intersecting each other at point Q. Join PQ and QR.

  3. Draw perpendicular bisector of PQ, intersecting it at point S.

  4. Join SR. Draw YZ, the perpendicular bisector of SR, intersecting it at point O.

  5. With O as center and OS as radius draw a circle touching QR at R.

Construct a triangle PQR, in which PR = 6 cm ad PQ = QR = 6.8 cm. (i) Mark S the mid-point of PQ. (ii) Construct the circle which touches QR at R and passes through S. Model Paper 5, Concise Mathematics Solutions ICSE Class 10.

Hence, above is the required figure.

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