# Construct the following quadrilaterals. (i) Quadrilateral DEAR DE = 4cm, EA = 5cm, AR = 4.5cm ∠E = 60°, ∠A = 90° (ii) Quadrilateral TRUE TR = 3.5cm, RU = 3cm, UE = 4cm ∠R = 75°, ∠U = 120°

**Solution:**

Steps:

Let us construct the quadrilateral

Step 1: Draw a line segment TR = 3.5 cm.

Step 2: With R as center construct an angle of 75^{o}.* *With R as center and radius 3 cm draw an arc cutting the ray from R at U

Step 3: With U as center construct an angle of 120^{o}*. *With U as center and radius, 4 cm draw an arc cutting the ray from U at E.

Step 4: Join TE.

Step 5: TRUE is the required quadrilateral.

ii)

Step 1: Draw a line segment TR = 3.5 cm

Step 2: Draw an angle of 75° at point R and cut RU = 3 cm.

Step 3: Draw an angle of 120° at point U and cut UE = 4.5 cm.

Step 4: Join TE.

TRUE is the required quadrilateral.

**Video Solution:**

## Construct the following quadrilaterals. (i) Quadrilateral DEAR DE = 4cm, EA = 5cm, AR = 4.5cm ∠E = 60°, ∠A = 90° (ii) Quadrilateral TRUE TR = 3.5cm, RU = 3cm, UE = 4cm ∠R = 75°, ∠U = 120°

### NCERT Solutions for Class 8 Maths - Chapter 4 Exercise 4.4 Question 1

Construct the following quadrilaterals. (i) Quadrilateral DEAR DE = 4cm, EA = 5cm, AR = 4.5cm ∠E = 60°, ∠A = 90° (ii) Quadrilateral TRUE TR = 3.5cm, RU = 3cm, UE = 4cm ∠R = 75°, ∠U = 120°

The different quadrilaterals are constructed using geometry tools applying the quadrilateral properties