S.chand publication New Learning Composite mathematics solution of class 8 Chapter 10 Quadrilaterals Exercise 10E

 Exercise 10E

Construct the following quadrilateral 

Question 1

(a) ABCD in which AB = 4 cm, BC = 6 cm, CD = 5.5 cm, AD = 5 cm and AC = 8 cm.

Sol :

(b) PQRS in which PQ = 3.5 cm, QR = 5.5 cm, RS = 4.5 cm, PS = 5 cm and PR = 7 cm.

Sol :

Question 2

(a) PQRS in which PQ = 4 cm, QR = 3 cm, PS = 2.5 cm, PR = 4.5 cm and QS = 4 cm.

Sol :

(b) Is it possible to construct a quadrilateral ABCD in which AB = 1.5 cm, AD = 3 cm, CD = 2 cm, AC = 6.5 cm, BD = 5 cm? Give reason in support of your answer.

Sol :

Question 3

(a) ABCD in which AB = 8 cm, BC = 6 cm, CD = 4 cm, AD = 5 cm and ∠B = 60°.

Sol :

(b) PQRS in which PQ = QR = 4.5 cm, PS = RS = 5.8 cm, ∠PQR = 120°.

Sol :

Question 4

(a) ABCD in which AB = 4.5 cm, CD = 5 cm, DA = 3.5 cm ∠C = 120° and ∠D = 75°.

Sol :

(b) PQRS in which PQ = 3.5 cm, QR = 3 cm, RS = 4 cm, ∠Q = 75° and ∠S = 120°.

Sol :

Question 5

(a) ABCD in which AB = 3.5 cm, BC = 6.5 cm, ∠A = 75°, ∠B = 105° and ∠C = 120°.

Sol :

(b) PQRS in which PQ = 6 cm, QR = 4 cm, ∠P = 45°, ∠Q = 115° and ∠S = 95° .

Sol :