5. 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
Answers
Answer:
Given :
QR = 7.5 cm , PR = PS = 6 cm , RS = 5 cm , QS = 10 cm.
Construction :
Step 1 : Draw segment QR of length 7.5 cm.
Step 2 : Taking Q as centre draw an arc of radius 10 cm.
Step 3 : Taking R as centre draw an arc of radius 5 cm, which cuts the arc drawn in step 2. Point of intersection of two arcs is S.
Step 4 : Join QS and SR.
Step 5 : Taking R as centre draw an arc of radius 6 cm.
Step 6 : Taking S as centre draw an arc of radius 6 cm, which cuts the arc drawn in step 5. Point of intersection of two arcs is P.
Step 7 : Join PQ , PR and PS.
PQRS is the required quadrilateral.
Step 8 : Measure length of PQ .
Length of fourth side PQ = 4.7 cm.
Step-by-step explanation:
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