Construct a trapezium PQRS in which PS = 4.7cm, RS= 8 cm, Angle P = 120°, Angle R =45°.
Answers
Answered by
88
We know in trapezium " Adjacent angles along the sides are supplementary. So
∠ P + ∠ S = 180° , So
∠ S + 120° = 180°
∠ S = 60°
Step 1 : Draw a line RS = 8 cm
Step 2 : Now take any radius ( Less than half of RS ) and center " R " draw a semicircle that intersect our line RS at "A " . .....
Step 3 : Join RD that intersect semicircle at " E " . Now with same radius and center " A " and " E " draw arcs these arcs intersect at " F " . .
Step 4 : Take any radius ( Less than half of RS ) and center " S " draw an arc that intersect our line RS at " G " .
Step 5 : Take radius of 4.5 cm and center " S " draw an arc that intersect line SY at " P " .
Step 6 :Take any radius ( Less than half of PS) and center " P " draw a semicircle that intersect our line PS at " I " .
Step 7 : Join PK that intersect our line " RX " at " Q " . We get required trapezium PQRS.
I hope it help you
∠ P + ∠ S = 180° , So
∠ S + 120° = 180°
∠ S = 60°
Step 1 : Draw a line RS = 8 cm
Step 2 : Now take any radius ( Less than half of RS ) and center " R " draw a semicircle that intersect our line RS at "A " . .....
Step 3 : Join RD that intersect semicircle at " E " . Now with same radius and center " A " and " E " draw arcs these arcs intersect at " F " . .
Step 4 : Take any radius ( Less than half of RS ) and center " S " draw an arc that intersect our line RS at " G " .
Step 5 : Take radius of 4.5 cm and center " S " draw an arc that intersect line SY at " P " .
Step 6 :Take any radius ( Less than half of PS) and center " P " draw a semicircle that intersect our line PS at " I " .
Step 7 : Join PK that intersect our line " RX " at " Q " . We get required trapezium PQRS.
I hope it help you
Attachments:
Answered by
8
Answer:
Step-by-step explanation:
draw a rough diagram.
Draw 8cm (RS) using scale.
Using compass, construct 45 degree in the point R.
as, angle P = 120 degree, Angle S is 60 degree( 120+60=180)
Construct 60 degree in point S.
As given PS= 4.7cm, draw 4.7cm from S.
Draw a line from S to P that measures 4.7cm.
connect the line drawn from R to Q.
trapezium is constructed.
Similar questions
Math,
8 months ago
Math,
8 months ago
Social Sciences,
1 year ago
Geography,
1 year ago
Science,
1 year ago