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:
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 75o. 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 120o. 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.
☛ Check: NCERT Solutions for Class 8 Maths Chapter 4
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
Summary:
The following quadrilaterals are constructed (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°
☛ Related Questions:
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