Arithmetic
Additive Identity
Arithmetic Progression
Associative Property
Averages
Brackets
Closure Property
Commutative Property
Conversion of Measurement Units
Cube Root
Decimal
Distributivity of Multiplication over Addition
Divisibility Principles
Equality
Exponents
Factors
Fractions
Fundamental Operations
H.C.F / G.C.D
Integers
L.C.M
Multiples
Multiplicative Identity
Multiplicative Inverse
Numbers
Percentages
Profit and Loss
Ratio and Proportion
Simple Interest
Square Root
Unitary Method
Algebra
Cartesian System
Order Relation
Polynomials
Probability
Standard Identities & their applications
Transpose
Geometry
Basic Geometrical Terms
Circle
Curves
Angles
Define Line, Line Segment and Rays
Non-Collinear Points
Parallelogram
Rectangle
Rhombus
Square
Three dimensional object
Trapezium
Triangle
Quadrilateral
Trigonometry
Trigonometry Ratios
Data-Handling
Arithmetic Mean
Frequency Distribution Table
Graphs
Median
Mode
Range

Videos
Solved Problems
Home >> Quadrilateral >> Construction of Quadrilateral (compass) >> Construction of Quadrilateral where three sides and two included angles are given >>

Construction of Quadrilateral where three sides and two included angles are given

Construction of Quadrilateral where four sides & one diagonal are given Construction of Quadrilateral where three sides & two diagonals are given Construction of Quadrilateral where two adjacent sides and three angles are given Construction of Quadrilateral where three sides and two included angles are given

Construct a quadrilateral ABCD, where sides adjacent sides AB, BC, AD = 5 cm, 3 cm & 4 cm respectively. Also two included angles - Angle A and Angle B are 120 degree & 110 degree respectively.

Solution: As per given question:
AB = 5 cm
BC = 3 cm
AD = 4 cm
Angle A = 120 degree
Angle B = 110 degree

Step of construction are as follows:

Step 1: Draw as line segment AB of 5 cm (as shown below)



Step 2: Use protractor and draw angle of 120 degree at vertex A (as shown below):
( you can also draw 120 degree angle with the help of compass. To study how to construct 120 degree angle with the help of compass Click here )



Step 3: Use compass and 4 cm wide open. With A as center, draw an arc with cuts the arm of 120 degree angle; drawn in step 4. And mark point of intersection as D (as shown below)



Step 4: Use protractor and draw angle of 110 degree at vertex B (as shown below):



Step 5: Use compass and 3 cm wide open. With B as center, draw an arc with cuts the arm of 110 degree angle; drawn in step 3. And mark point of intersection as C (as shown below)



Step 6: Join point C & D and we get the resultant quadrilateral ABCD (as shown below):



Copyright@2022 Algebraden.com (Math, Algebra & Geometry tutorials for school and home education)