Advertisements
Advertisements
प्रश्न
Construct a trapezium RISK in which RI || KS, RI = 7 cm, IS = 5 cm, RK = 6.5 cm and ∠I = 60°.
Advertisements
उत्तर

∠I + ∠S = 180°
60° + ∠S = 180°
∠S = 120° ...[Cointerior angles]
Steps of construction:
Step I: Draw an arc RI = 7 cm.
Step II: Make ∠RIX = 60°
Step III: With I as centre and radius 5 cm, draw an arc cutting IX at S.
Step IV: Make ∠ISY = 120°
Step V: With R as centre an radius 6.5 cm, draw an arc cutting SY at K.
Step VI: Join KR.
Hence, RISK is the required trapezium.
APPEARS IN
संबंधित प्रश्न
All parallelograms are trapeziums.
A quadrilateral in which a pair of opposite sides is parallel is ______.
In trapezium ABCD with AB || CD, if ∠A = 100°, then ∠D = ______.
All angles of a trapezium are equal.
Every rhombus is a trapezium.
In trapezium HARE, EP and RP are bisectors of ∠E and ∠R respectively. Find ∠HAR and ∠EHA.

ABCD is a trapezium such that AB || CD, ∠A : ∠D = 2 : 1, ∠B : ∠C = 7 : 5. Find the angles of the trapezium.
In the following figure, AB || DC and AD = BC. Find the value of x.

Construct a trapezium ABCD in which AB || DC, ∠A = 105°, AD = 3 cm, AB = 4 cm and CD = 8 cm.
Construct a trapezium ABCD where AB || CD, AD = BC = 3.2 cm, AB = 6.4 cm and CD = 9.6 cm. Measure ∠B and ∠A.

[Hint: Difference of two parallel sides gives an equilateral triangle.]
