Construct a quadrilateral PQRS in which QR = 7.5 cm, PR = PS = 6 cm, RS = 5 cm and QS =10 cm. Measure the fourth side.

Open in App

Solution

Steps of Construction :

(i) Draw a line segment RS = 5 cm.

(ii) With centre R and S, radius 6 cm. each, draw arcs intersecting each other at P.

(iii) Join PR and PS.

(iv) With centre R and radius 7.5 cm. and with centre S and radius 10 cm, draw arcs intersecting each other at Q.

(v) Join RQ, SQ and PQ.

PQRS is the required quadrilateral.

Measuring the fourth sides PQ, it is 4.7 cm. (approx.)

Suggest Corrections

Similar questions

Construct a cyclic quadrilateral PQRS with PQ = 4 cm, QR = 6 cm, PR = 7.5 cm, QS = 7 cm

For a quadrilateral PQRS where PQ = 4 cm,QR = 6 cm, RS = 5 cm, PS = 5.5 cm. The length of PR should be less than

P Q R S

P Q = 5

R S = 4

P S = 8

P R = 10

Q S = 7

For a quadrilateral PQRS where PQ = $4$ cm, QR = $6$ cm, RS = $5$ cm and PS = $5.5$ cm, the value of PR should be less than ____ cm.

For a quadrilateral PQRS where PQ = 4 cm,QR = 6 cm, RS = 5 cm, PS = 5.5 cm. What value must length of PR be below in cm?

Join BYJU'S Learning Program