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Construction of Triangle using ASA Criteria

Constructions - Concepts

Construction of Line Segment

Construction of Parallel line through a given point

Construction of Triangle using ASA Criteria

Construction of Triangle using SAS Criteria

Construction of Triangle using SSS Criteria

Construction of Triangle using RHS Criteria

Class - 7th Foundation NTSE Subjects

Concept Explanation

Construction of Triangle using ASA Criteria

Construction of Triangle using ASA Criteria: We can construct a triangle using ASA criteria only when the given side must necessarily be the one that is enclosed by the given angles . For Example if we are given the two angles as ∠CAB and ∠BCA the the side that is given should be BC. Let us say, in a triangle ABC, the measures of the angles are ∠CAB = 45 degrees and ∠ABC = 60 degrees. The length of side AB = 3cm.

To construct a triangle when two of its angles,say B and C, and the included side BC are given,we proceed as follows :

Step 1 : Draw a line segment BC.
Step 2 : Draw ∠CBX of measure equal to that of ∠B.
Step 3 : Draw ∠BCY with Y on the same side of BC as X, such that its measure is equal to that of ∠C.
Step 4 : Let BX and CY intersect at A. Then, ΔABC is the required triangle.

Example : Construct a ΔABC in which BC = 6 cm, ∠B = $small 35^0$ and ∠C = $small 100^0$ .

Step 1 : Draw a line segment BC = 6 cm.

Step 2 : Draw ∠CBX, such that ∠CBX = $small 35^0$

Step 3 : Draw ∠BCY with Y on the same side of BC as X such that ∠BCY = $small 100^0$

Step 4 : Let BX and CY intersect at A. ΔABC is the required triangle.

Sample Questions

(More Questions for each concept available in Login)

Question : 1

If two angles in a triangle are $large 65^0$ and $large 85^0$ , then the third angle is ____________
A. $30^0$	B. $45^0$	C. $60^0$	D. $90^0$
Right Option : A
View Explanation

Question : 2

If the angles of a triangle are in the ratio 1 : 2 : 7 then the triangle is _____________
A. Acute angled	B. Obtuse angled	C. Right angled	D. Right angled isosceles
Right Option : B
View Explanation

Question : 3

In $Delta$ ABC, if AB = BC and $large angle B =80^0$ then $angle$ C = ________
A. 50	B. 100	C. 130	D. 30
Right Option : A
View Explanation

Chapters

Integers I

Symmetry

Visualising Soild Shapes

Introduction to Trigonometry

Algebraic Identities

Rational Numbers II

Rational Numbers I

Triangles and its Properties II

Triangles and its Properties I

Algebraic Expression I

Decimals

Fractions

Exponents and Power I

Percentages and Its Application III

Mensuration II

Mensuration I

Exponents and Power II

Percentages and Its Application II

Percentages and Its Application I

Ratio and Proportion

Constructions

Congruence of Triangles II

Algebraic Expression II

Congruence of Triangles I

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