Question
Using ruler and pair of compasses only, construct a quadrilateral PQRS,such that/PQ/ =8cm ,QPS=105 , PQS=30, /PR/=9cm, and /RS/ =/RQ/
Answers
oobleck
Draw PQ of length 8
Construct the two angles. Note that 105 = 60+45, 30 = 60/2. If you can construct a 45 or 60-degree angle, this will be easy. Where the line from Q intersects the line from P will be S.
Draw QS
Since PR=RS, R lies on the perpendicular bisector of QS. Construct that line segment.
Draw a circle of radius 9 with center at P. Where it intersects the perpendicular bisector of QS will be R.
google can help if you have difficulty with any of these steps.
Construct the two angles. Note that 105 = 60+45, 30 = 60/2. If you can construct a 45 or 60-degree angle, this will be easy. Where the line from Q intersects the line from P will be S.
Draw QS
Since PR=RS, R lies on the perpendicular bisector of QS. Construct that line segment.
Draw a circle of radius 9 with center at P. Where it intersects the perpendicular bisector of QS will be R.
google can help if you have difficulty with any of these steps.
Mansah
Thanks
Mansah
Its good