Construct a trapezium RISK in which RI || KS, RI = 7 cm, IS = 5 cm, RK = 6.5 cm and ∠I = 60°.
Solution:
Given, RISK is a trapezium in which RI || KS.
RI = 7 cm, IS = 5 cm, RK = 6.5 cm and ∠I = 60°.
We have to construct a trapezium RISK.
We know that the sum of the adjacent angles of a trapezium are supplementary.
So, ∠I + ∠S = 180°
60° + ∠S = 180°
∠S = 180° - 60°
∠S = 120°
To construct a trapezium RISK,
1. Draw an arc RI = 7 cm
2. Make an arc ∠RIX = 60°
3. With I as center and radius 5cm, draw an arc cutting IX at S.
4. Make ∠ISY = 120°
5. With R as center and radius 6.5cm, draw an arc cutting SY at K.
6. Join KR.
Thus, RISK is the required trapezium.
✦ Try This: Construct a trapezium ABCD in which AB∥CD, AB = 4 cm, BC = 2.3 cm, CD = 2.8 cm and AD = 1.9 cm.
☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 5 Problem 202
Construct a trapezium RISK in which RI || KS, RI = 7 cm, IS = 5 cm, RK = 6.5 cm and ∠I = 60°.
Summary:
A trapezium RISK in which RI||KS, RI = 7 cm, IS = 5 cm, RK=6.5 cm and ∠I = 60° is constructed.
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