Question

7. Construct a quadrilateral PQRS in which
PQ = 5.6 cm, QR = 4 cm, ZP = 50°,
20 = 105º and ZS = 80°.​

Answer 1

Answer:

Construct a right triangle whose base is 12 cm and sum of its hypotenuse and other side is 18 cm.

Solution:

Steps of Construction:

Step I : Draw BC = 12 cm.

Step II : At B, construct ∠CBY = 90°.

Step III : Along BY¯¯¯¯¯¯¯¯, cut off a line segment BX = 18 cm.

Step IV : Join CX.

Step V : Draw PQ, perpendicular bisector of CX, which meets BX at A.

Step VI : Join AC.