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# 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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